{
  "name": "SECG",
  "desc": "SEC 2: Recommended Elliptic Curve Domain Parameters version 2.0  January 27, 2010",
  "curves": [
    {
      "name": "secp112r1",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.3.132.0.6",
      "field": {
        "type": "Prime",
        "p": "0xdb7c2abf62e35e668076bead208b",
        "bits": 112
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xdb7c2abf62e35e668076bead2088"
        },
        "b": {
          "raw": "0x659ef8ba043916eede8911702b22"
        }
      },
      "generator": {
        "x": {
          "raw": "0x09487239995a5ee76b55f9c2f098"
        },
        "y": {
          "raw": "0xa89ce5af8724c0a23e0e0ff77500"
        }
      },
      "order": "0xdb7c2abf62e35e7628dfac6561c5",
      "cofactor": "0x01",
      "aliases": [
        "wtls/wap-wsg-idm-ecid-wtls6"
      ],
      "characteristics": {
        "seed": "00F50B028E4D696E676875615175290472783FB1",
        "discriminant": "431641039663814096123514803737201",
        "j_invariant": "3522606870331875081851146801233610",
        "trace_of_frobenius": "-4407293269000505",
        "embedding_degree": "4451685225093714776491891542548932",
        "anomalous": false,
        "supersingular": false,
        "cm_disc": "17806740900374859092745686363194213",
        "conductor": "1",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 3,
            "full": 3
          },
          {
            "r": 3,
            "least": 8,
            "full": 8
          },
          {
            "r": 5,
            "least": 8,
            "full": 8
          },
          {
            "r": 7,
            "least": 3,
            "full": 6
          },
          {
            "r": 11,
            "least": 120,
            "full": 120
          },
          {
            "r": 13,
            "least": 24,
            "full": 24
          },
          {
            "r": 17,
            "least": 8,
            "full": 16
          },
          {
            "r": 19,
            "least": 360,
            "full": 360
          }
        ]
      }
    },
    {
      "name": "secp112r2",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.3.132.0.7",
      "field": {
        "type": "Prime",
        "p": "0xdb7c2abf62e35e668076bead208b",
        "bits": 112
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x6127c24c05f38a0aaaf65c0ef02c"
        },
        "b": {
          "raw": "0x51def1815db5ed74fcc34c85d709"
        }
      },
      "generator": {
        "x": {
          "raw": "0x4ba30ab5e892b4e1649dd0928643"
        },
        "y": {
          "raw": "0xadcd46f5882e3747def36e956e97"
        }
      },
      "order": "0x36df0aafd8b8d7597ca10520d04b",
      "cofactor": "0x04",
      "characteristics": {
        "seed": "002757A1114D696E6768756151755316C05E0BD4",
        "discriminant": "3350974381310990100142288157262754",
        "j_invariant": "1815128745141690948653052996943564",
        "trace_of_frobenius": "72213667414400864",
        "embedding_degree": "370973768757809558322577571595630",
        "anomalous": false,
        "supersingular": false,
        "cm_disc": "494631691677079417114575713327579",
        "conductor": "6",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 1,
            "full": 1
          },
          {
            "r": 3,
            "least": 8,
            "full": 8
          },
          {
            "r": 5,
            "least": 24,
            "full": 24
          },
          {
            "r": 7,
            "least": 3,
            "full": 6
          },
          {
            "r": 11,
            "least": 5,
            "full": 10
          },
          {
            "r": 13,
            "least": 3,
            "full": 12
          },
          {
            "r": 17,
            "least": 288,
            "full": 288
          },
          {
            "r": 19,
            "least": 360,
            "full": 360
          }
        ]
      }
    },
    {
      "name": "secp128r1",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.3.132.0.28",
      "field": {
        "type": "Prime",
        "p": "0xfffffffdffffffffffffffffffffffff",
        "bits": 128
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xfffffffdfffffffffffffffffffffffc"
        },
        "b": {
          "raw": "0xe87579c11079f43dd824993c2cee5ed3"
        }
      },
      "generator": {
        "x": {
          "raw": "0x161ff7528b899b2d0c28607ca52c5b86"
        },
        "y": {
          "raw": "0xcf5ac8395bafeb13c02da292dded7a83"
        }
      },
      "order": "0xfffffffe0000000075a30d1b9038a115",
      "cofactor": "0x01",
      "characteristics": {
        "seed": "000E0D4D696E6768756151750CC03A4473D03679",
        "discriminant": "92269531472977194927251796133478512919",
        "j_invariant": "142488586153168470548238628993886102905",
        "trace_of_frobenius": "-8476633335676313877",
        "embedding_degree": "170141183381241069221661282790178312330",
        "anomalous": false,
        "supersingular": false,
        "cm_disc": "1361129467049928553747860362314397557009",
        "conductor": "1",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 3,
            "full": 3
          },
          {
            "r": 3,
            "least": 4,
            "full": 4
          },
          {
            "r": 5,
            "least": 24,
            "full": 24
          },
          {
            "r": 7,
            "least": 6,
            "full": 6
          },
          {
            "r": 11,
            "least": 120,
            "full": 120
          },
          {
            "r": 13,
            "least": 168,
            "full": 168
          },
          {
            "r": 17,
            "least": 4,
            "full": 8
          },
          {
            "r": 19,
            "least": 9,
            "full": 18
          }
        ]
      }
    },
    {
      "name": "secp128r2",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.3.132.0.29",
      "field": {
        "type": "Prime",
        "p": "0xfffffffdffffffffffffffffffffffff",
        "bits": 128
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xd6031998d1b3bbfebf59cc9bbff9aee1"
        },
        "b": {
          "raw": "0x5eeefca380d02919dc2c6558bb6d8a5d"
        }
      },
      "generator": {
        "x": {
          "raw": "0x7b6aa5d85e572983e6fb32a7cdebc140"
        },
        "y": {
          "raw": "0x27b6916a894d3aee7106fe805fc34b44"
        }
      },
      "order": "0x3fffffff7fffffffbe0024720613b5a3",
      "cofactor": "0x04",
      "characteristics": {
        "seed": "004D696E67687561517512D8F03431FCE63B88F4",
        "discriminant": "296974453756101405409198998476964181399",
        "j_invariant": "194900232209907094972416409296981867603",
        "trace_of_frobenius": "19023044537425668468",
        "embedding_degree": "3866845076846387936543441905764257299",
        "anomalous": false,
        "supersingular": false,
        "cm_disc": "340282366762482138430090171110323893666",
        "conductor": "2",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 1,
            "full": 2
          },
          {
            "r": 3,
            "least": 4,
            "full": 4
          },
          {
            "r": 5,
            "least": 24,
            "full": 24
          },
          {
            "r": 7,
            "least": 6,
            "full": 6
          },
          {
            "r": 11,
            "least": 120,
            "full": 120
          },
          {
            "r": 13,
            "least": 3,
            "full": 12
          }
        ]
      }
    },
    {
      "name": "secp160k1",
      "category": "secg",
      "desc": "A Koblitz curve.",
      "oid": "1.3.132.0.9",
      "field": {
        "type": "Prime",
        "p": "0xfffffffffffffffffffffffffffffffeffffac73",
        "bits": 160
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x0000000000000000000000000000000000000000"
        },
        "b": {
          "raw": "0x0000000000000000000000000000000000000007"
        }
      },
      "generator": {
        "x": {
          "raw": "0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebb"
        },
        "y": {
          "raw": "0x938cf935318fdced6bc28286531733c3f03c4fee"
        }
      },
      "order": "0x0100000000000000000001b8fa16dfab9aca16b6b3",
      "cofactor": "0x1",
      "aliases": [
        "x963/ansip160k1"
      ],
      "characteristics": {
        "discriminant": "1461501637330902918203684832716283019651637533123",
        "j_invariant": "0",
        "trace_of_frobenius": "-2082454586705745521609279",
        "embedding_degree": "730750818665451459101843457585434862698579581785",
        "anomalous": false,
        "supersingular": false,
        "cm_disc": "5846006549323611672814741413319718784352071826443",
        "conductor": "1",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 3,
            "full": 3
          },
          {
            "r": 3,
            "least": 2,
            "full": 6
          },
          {
            "r": 5,
            "least": 6,
            "full": 6
          },
          {
            "r": 7,
            "least": 2,
            "full": 2
          },
          {
            "r": 11,
            "least": 15,
            "full": 15
          },
          {
            "r": 13,
            "least": 2,
            "full": 6
          }
        ]
      }
    },
    {
      "name": "secp160r1",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.3.132.0.8",
      "field": {
        "type": "Prime",
        "p": "0xffffffffffffffffffffffffffffffff7fffffff",
        "bits": 160
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xffffffffffffffffffffffffffffffff7ffffffc"
        },
        "b": {
          "raw": "0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45"
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      },
      "generator": {
        "x": {
          "raw": "0x4a96b5688ef573284664698968c38bb913cbfc82"
        },
        "y": {
          "raw": "0x23a628553168947d59dcc912042351377ac5fb32"
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      },
      "order": "0x0100000000000000000001f4c8f927aed3ca752257",
      "cofactor": "0x01",
      "aliases": [
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        "x963/ansip160r1"
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      "characteristics": {
        "seed": "1053CDE42C14D696E67687561517533BF3F83345",
        "discriminant": "1027266213310721979572908445837817790068480350785",
        "j_invariant": "1443800352525525475817269232308576710441299733598",
        "trace_of_frobenius": "-2364890543760230858433111",
        "embedding_degree": "1461501637330902918203687197606826779884643492438",
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        "conductor": "1",
        "torsion_degrees": [
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            "r": 2,
            "least": 3,
            "full": 3
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          {
            "r": 3,
            "least": 4,
            "full": 4
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          {
            "r": 5,
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          {
            "r": 7,
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          {
            "r": 11,
            "least": 10,
            "full": 110
          },
          {
            "r": 13,
            "least": 4,
            "full": 12
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        ]
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    },
    {
      "name": "secp160r2",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.3.132.0.30",
      "field": {
        "type": "Prime",
        "p": "0xfffffffffffffffffffffffffffffffeffffac73",
        "bits": 160
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xfffffffffffffffffffffffffffffffeffffac70"
        },
        "b": {
          "raw": "0xb4e134d3fb59eb8bab57274904664d5af50388ba"
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      },
      "generator": {
        "x": {
          "raw": "0x52dcb034293a117e1f4ff11b30f7199d3144ce6d"
        },
        "y": {
          "raw": "0xfeaffef2e331f296e071fa0df9982cfea7d43f2e"
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      },
      "order": "0x0100000000000000000000351ee786a818f3a1a16b",
      "cofactor": "0x01",
      "aliases": [
        "x963/ansip160r2"
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      "characteristics": {
        "seed": "B99B99B099B323E02709A4D696E6768756151751",
        "discriminant": "1237703873357928705511536972446330043119280998656",
        "j_invariant": "1027058635636405814575941827615445452503699747171",
        "trace_of_frobenius": "-250855509121001538581751",
        "embedding_degree": "730750818665451459101842541785896070326588068021",
        "anomalous": false,
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        "cm_disc": "5846006549323611672814739581720641199608088798915",
        "conductor": "1",
        "torsion_degrees": [
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            "full": 3
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          {
            "r": 3,
            "least": 4,
            "full": 4
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          {
            "r": 5,
            "least": 3,
            "full": 3
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          {
            "r": 7,
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            "full": 4
          },
          {
            "r": 11,
            "least": 20,
            "full": 20
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        ]
      }
    },
    {
      "name": "secp192k1",
      "category": "secg",
      "desc": "A Koblitz curve.",
      "oid": "1.3.132.0.31",
      "field": {
        "type": "Prime",
        "p": "0xfffffffffffffffffffffffffffffffffffffffeffffee37",
        "bits": 192
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x000000000000000000000000000000000000000000000000"
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        "b": {
          "raw": "0x000000000000000000000000000000000000000000000003"
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      },
      "generator": {
        "x": {
          "raw": "0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d"
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        "y": {
          "raw": "0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d"
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      },
      "order": "0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d",
      "cofactor": "0x1",
      "aliases": [
        "x963/ansip192k1"
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      "characteristics": {
        "discriminant": "6277101735386680763835789423207666416102355444459739537159",
        "j_invariant": "0",
        "trace_of_frobenius": "146402144145231529258894028971",
        "embedding_degree": "3138550867693340381917894711530632135978561957600422756038",
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        "cm_disc": "25108406941546723055343157692684263520264190248580064135217",
        "conductor": "1",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 3,
            "full": 3
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          {
            "r": 3,
            "least": 2,
            "full": 6
          },
          {
            "r": 5,
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          {
            "r": 7,
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            "full": 3
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          {
            "r": 11,
            "least": 4,
            "full": 4
          },
          {
            "r": 13,
            "least": 3,
            "full": 12
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        ]
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    },
    {
      "name": "secp192r1",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.2.840.10045.3.1.1",
      "field": {
        "type": "Prime",
        "p": "0xfffffffffffffffffffffffffffffffeffffffffffffffff",
        "bits": 192
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xfffffffffffffffffffffffffffffffefffffffffffffffc"
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        "b": {
          "raw": "0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1"
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      "generator": {
        "x": {
          "raw": "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012"
        },
        "y": {
          "raw": "0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"
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      },
      "order": "0xffffffffffffffffffffffff99def836146bc9b1b4d22831",
      "cofactor": "0x1",
      "aliases": [
        "nist/P-192",
        "x962/prime192v1"
      ],
      "characteristics": {
        "seed": "3045AE6FC8422F64ED579528D38120EAE12196D5",
        "discriminant": "5525402385154848923235289274741921730185152131202286251655",
        "j_invariant": "6234286251230310114240839169629130138801351179850969208331",
        "trace_of_frobenius": "31607402316713927207482677199",
        "embedding_degree": "627710173538668076383578942317605901376719477318284228408",
        "anomalous": false,
        "supersingular": false,
        "cm_disc": "25108406941546723055343157692799058262018920874353817167917",
        "conductor": "1",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 3,
            "full": 3
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          {
            "r": 3,
            "least": 8,
            "full": 8
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          {
            "r": 5,
            "least": 4,
            "full": 20
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          {
            "r": 7,
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          {
            "r": 11,
            "least": 5,
            "full": 55
          },
          {
            "r": 13,
            "least": 4,
            "full": 12
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        ]
      }
    },
    {
      "name": "secp224k1",
      "category": "secg",
      "desc": "A Koblitz curve.",
      "oid": "1.3.132.0.32",
      "field": {
        "type": "Prime",
        "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d",
        "bits": 224
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x00000000000000000000000000000000000000000000000000000000"
        },
        "b": {
          "raw": "0x00000000000000000000000000000000000000000000000000000005"
        }
      },
      "generator": {
        "x": {
          "raw": "0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c"
        },
        "y": {
          "raw": "0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5"
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      },
      "order": "0x10000000000000000000000000001dce8d2ec6184caf0a971769fb1f7",
      "cofactor": "0x01",
      "aliases": [
        "x963/ansip224k1"
      ],
      "characteristics": {
        "discriminant": "26959946667150639794667015087019630673637144422540572481099315264317",
        "j_invariant": "0",
        "trace_of_frobenius": "-9672873182660579502067895643393161",
        "embedding_degree": "4493324444525106632444502514503273391085054513853345758165826444713",
        "anomalous": false,
        "supersingular": false,
        "cm_disc": "107839786668602559178668060348078532367421760350741791992292904493629",
        "conductor": "1",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 3,
            "full": 3
          },
          {
            "r": 3,
            "least": 2,
            "full": 2
          },
          {
            "r": 5,
            "least": 24,
            "full": 24
          },
          {
            "r": 7,
            "least": 3,
            "full": 3
          }
        ]
      }
    },
    {
      "name": "secp224r1",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.3.132.0.33",
      "field": {
        "type": "Prime",
        "p": "0xffffffffffffffffffffffffffffffff000000000000000000000001",
        "bits": 224
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe"
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        "b": {
          "raw": "0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4"
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      },
      "generator": {
        "x": {
          "raw": "0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21"
        },
        "y": {
          "raw": "0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34"
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      },
      "order": "0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d",
      "cofactor": "0x1",
      "aliases": [
        "nist/P-224",
        "wtls/wap-wsg-idm-ecid-wtls12",
        "x963/ansip224r1"
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      "characteristics": {
        "seed": "BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5",
        "discriminant": "8133954887115844930654026312464158747844254983800706208418026371607",
        "j_invariant": "20781977079628996477063007379734849057519732242287194936686605794677",
        "trace_of_frobenius": "4733100108545601916421827343930821",
        "embedding_degree": "8986648889050213264889005029006541980152602571474797240560907456020",
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        "supersingular": false,
        "cm_disc": "107839786668602559178668060348078517961131556494503316152212921264703",
        "conductor": "1",
        "torsion_degrees": [
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            "r": 2,
            "least": 3,
            "full": 3
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          {
            "r": 3,
            "least": 2,
            "full": 2
          },
          {
            "r": 5,
            "least": 6,
            "full": 6
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        ]
      }
    },
    {
      "name": "secp256k1",
      "category": "secg",
      "desc": "A Koblitz curve.",
      "oid": "1.3.132.0.10",
      "field": {
        "type": "Prime",
        "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f",
        "bits": 256
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x0000000000000000000000000000000000000000000000000000000000000000"
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        "b": {
          "raw": "0x0000000000000000000000000000000000000000000000000000000000000007"
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      },
      "generator": {
        "x": {
          "raw": "0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798"
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      },
      "order": "0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141",
      "cofactor": "0x1",
      "aliases": [
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        "discriminant": "115792089237316195423570985008687907853269984665640564039457584007908834650495",
        "j_invariant": "0",
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        "embedding_degree": "19298681539552699237261830834781317975472927379845817397100860523586360249056",
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        "conductor": "15",
        "torsion_degrees": [
          {
            "r": 2,
            "least": 3,
            "full": 3
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        ]
      }
    },
    {
      "name": "secp256r1",
      "category": "secg",
      "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
      "oid": "1.2.840.10045.3.1.7",
      "field": {
        "type": "Prime",
        "p": "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
        "bits": 256
      },
      "form": "Weierstrass",
      "params": {
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          "raw": "0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5"
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      },
      "order": "0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
      "cofactor": "0x1",
      "aliases": [
        "nist/P-256",
        "x962/prime256v1"
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      "characteristics": {
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        "discriminant": "47064476442213300654454205837611899485069387829947879813735601543372794627813",
        "j_invariant": "7958909377132088453074743217357398615041065282494610304372115906626967530147",
        "trace_of_frobenius": "89188191154553853111372247798585809583",
        "embedding_degree": "38597363070118749587565815649802524509998985074711920114140753020356170681456",
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        "cm_disc": "51463150760158332783421087533070032680028376163334078103224794776407756178469",
        "conductor": "3",
        "torsion_degrees": [
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          {
            "r": 3,
            "least": 2,
            "full": 6
          },
          {
            "r": 5,
            "least": 2,
            "full": 10
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        ]
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    },
    {
      "name": "secp384r1",
      "category": "secg",
      "desc": "",
      "oid": "1.3.132.0.34",
      "field": {
        "type": "Prime",
        "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
        "bits": 384
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      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc"
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      "generator": {
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      "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
      "cofactor": "0x1",
      "aliases": [
        "nist/P-384",
        "x963/ansip384r1"
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      "characteristics": {
        "seed": "A335926AA319A27A1D00896A6773A4827ACDAC73",
        "discriminant": "38275261264050278989862136034342276004573039492779555073863190029182890449044186682105480613137214197175883602718257",
        "j_invariant": "12550029517991417762405079599420518784762671286028430215113399824456742172589190955698027499893480133182923443701083",
        "trace_of_frobenius": "1388124618062372383606759648309780106643088307173319169677"
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    },
    {
      "name": "secp521r1",
      "category": "secg",
      "desc": "",
      "oid": "1.3.132.0.35",
      "field": {
        "type": "Prime",
        "p": "0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
        "bits": 521
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      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc"
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      "generator": {
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      "cofactor": "0x1",
      "aliases": [
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        "x963/ansip521r1"
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      "characteristics": {
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        "discriminant": "2687853087729004331535582886185403114835754464152651523509230634031161977750238608042000458607319784141115468556368066113806987449553072575343372028907331922",
        "j_invariant": "3619090631887053412807272747807643016060282478111249168973675223587770705025281286979867546071268566958111997954788345609183745222693618155278831649044785613",
        "trace_of_frobenius": "657877501894328237357444332315020117536923257219387276263472201219398408051703"
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    },
    {
      "form": "Weierstrass",
      "name": "sect113r1",
      "category": "secg",
      "desc": "",
      "oid": "1.3.132.0.4",
      "field": {
        "type": "Binary",
        "bits": 113,
        "poly": [
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          {
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          {
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        "degree": 113,
        "basis": "poly"
      },
      "params": {
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        "b": {
          "raw": "0x00e8bee4d3e2260744188be0e9c723"
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      },
      "order": "0x0100000000000000d9ccec8a39e56f",
      "cofactor": "0x2",
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      "aliases": [
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    {
      "form": "Weierstrass",
      "name": "sect113r2",
      "category": "secg",
      "desc": "",
      "oid": "1.3.132.0.5",
      "field": {
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        "bits": 113,
        "poly": [
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            "power": 113,
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          {
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          {
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        ],
        "degree": 113,
        "basis": "poly"
      },
      "params": {
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        "b": {
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    {
      "form": "Weierstrass",
      "name": "sect131r1",
      "category": "secg",
      "desc": "",
      "oid": "1.3.132.0.22",
      "field": {
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          {
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        "degree": 131,
        "basis": "poly"
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      "params": {
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    {
      "form": "Weierstrass",
      "name": "sect131r2",
      "category": "secg",
      "desc": "",
      "oid": "1.3.132.0.23",
      "field": {
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        "bits": 131,
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          {
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          {
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          {
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          {
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        "degree": 131,
        "basis": "poly"
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      "params": {
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        "b": {
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      },
      "order": "0x0400000000000000016954a233049ba98f",
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        "y": {
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    },
    {
      "name": "sect163k1",
      "category": "secg",
      "desc": "",
      "oid": "1.3.132.0.1",
      "field": {
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          {
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          {
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          {
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          {
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        ],
        "bits": 163,
        "degree": 163,
        "basis": "poly"
      },
      "form": "Weierstrass",
      "params": {
        "a": {
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        "b": {
          "raw": "0x000000000000000000000000000000000000000001"
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      "generator": {
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      },
      "order": "0x04000000000000000000020108a2e0cc0d99f8a5ef",
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      "aliases": [
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        "x963/ansit163k1",
        "wtls/wap-wsg-idm-ecid-wtls3"
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      "characteristics": {
        "discriminant": "1",
        "j_invariant": "1",
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        "conductor": "1"
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    },
    {
      "name": "sect163r1",
      "category": "secg",
      "desc": "A randomly generated curve, using the SECG/X9.62 method. 'However for historical reasons the method used to generate E from S differs slightly from the method described in ANSI X9.62 [X9.62]. Specifically the coefficient b produced from S is the reverse of the coefficient that would have been produced by the method described in ANSI X9.62.'",
      "oid": "1.3.132.0.2",
      "field": {
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          {
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          {
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          {
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          {
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        "bits": 163,
        "degree": 163,
        "basis": "poly"
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      "form": "Weierstrass",
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      "generator": {
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      },
      "order": "0x03ffffffffffffffffffff48aab689c29ca710279b",
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      "aliases": [
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      "characteristics": {
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        "discriminant": "10341149448350347985759700389662805134872097107929",
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        "cm_disc": "46768052394588893382517912915388390434351221854005",
        "conductor": "1"
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    },
    {
      "name": "sect163r2",
      "category": "secg",
      "desc": "A randomly generated curve. 'E was selected from S as specified in ANSI X9.62 [X9.62] in normal basis representation and converted into polynomial basis representation.'",
      "oid": "1.3.132.0.15",
      "field": {
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            "coeff": "0x01"
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          {
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          {
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          {
            "power": 3,
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          {
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            "coeff": "0x01"
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        ],
        "bits": 163,
        "degree": 163,
        "basis": "poly"
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x000000000000000000000000000000000000000001"
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        "b": {
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      "generator": {
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        "y": {
          "raw": "0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1"
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      },
      "order": "0x040000000000000000000292fe77e70c12a4234c33",
      "cofactor": "0x2",
      "aliases": [
        "nist/B-163",
        "x963/ansit163r2"
      ],
      "characteristics": {
        "seed": "85E25BFE5C86226CDB12016F7553F9D0E693A268",
        "discriminant": "2982236234343851336267446656627785008148015875581",
        "j_invariant": "924715273381456531451948543458511393546700947074",
        "trace_of_frobenius": "-6224022517221266226059365",
        "anomalous": false,
        "supersingular": false,
        "cm_disc": "46768052394588893382517920870943573850256067434597",
        "conductor": "1"
      }
    },
    {
      "form": "Weierstrass",
      "name": "sect193r1",
      "category": "secg",
      "desc": "",
      "oid": "1.3.132.0.24",
      "field": {
        "type": "Binary",
        "bits": 193,
        "poly": [
          {
            "power": 193,
            "coeff": "0x01"
          },
          {
            "power": 15,
            "coeff": "0x01"
          },
          {
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        ],
        "degree": 193,
        "basis": "poly"
      },
      "params": {
        "a": {
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