Torsion group Z/3Z, rank = 15

Elkies - Klagsbrun (2020)

y2 + xy + y = x3 - 107404730164187455100283304999195859754632145403x 
            + 48976939778870435455584633601954124477725966045276826839333933204370006

	Torsion points:

O, [20068686794995229328280, 216401364590084404674437763597114797], 
[20068686794995229328280, -216401364590104473361232758826443078]

	Independent points of infinite order:

P1 = [-422511571742285267531345, -137592127148862829770221635303960828]
P2 = [-441007351163624462047670, -102824147331859218513919290250298203]
P3 = [156085384573658420738746, 189776933096927384678335033331045984]
P4 = [-460838553366765681840845, -24574287549951174429604416824455828]
P5 = [4176134452254148300203630, 8510736658900069929975759728364918172]
P6 = [-359187750061494853894325, -203013531407261210327764965678707548]
P7 = [-460188579405761971770845, -30783285810055207778934556373103328]
P8 = [646948036481989988599630, 500266360594011622677409610820423797]
P9 = [339470884962917809004155, 227237649388778691045137980486286672]
P10 = [-126915798498020139215720, -246097512030324095711517097854917203]
P11 = [1045627763773449027515596, 1039180222036999853815782266061861389]
P12 = [17730115810583176883376655, 74644027306445943530330235569361589172]
P13 = [256495517365884675394222, 195711357157735899784726812610011893]
P14 = [-142791994651726392782285, -247794290462672857095557195444679328]
P15 = [1113480161648803705205155, 1144516928010965576054744619118736672]

Li (2026)

y2 + xy = x3 - 421998609688798141378661266913244944813586572790972472x 
            + 105133199416296112543076668482970837293052409636073661102540207419654670363630656

	Torsion points:

O, [450945037275026876014513264, 2556430579463637536046406871474750403272], 
[450945037275026876014513264, -2556430579464088481083681898350764916536]

	Independent points of infinite order:

P1 = [191445457210676400894779834, 5600019607614145902475983010272858194532]
P2 = [394078199009744146651980982, 179322219641743968634426996128341233460]
P3 = [-118765217695694935214465168, -12392608754980777877657821090256158612792]
P4 = [-194393701661487861118454960, -13409740672768432927013737645597060894744]
P5 = [354374232638392855836294256, 300783528274345086180875189730571170504]
P6 = [393352761077877796080546416, 30588730548740733767502094334027430600]
P7 = [402262493181987326376684644, 686394582438115881169323519374306572612]
P8 = [396303798858722919149163472, 368394519535669390914510830552117380968]
P9 = [245015352721308879826733680, 4055360776802669450619830068666264490696]
P10 = [393568217281674489427587424, 100391866055138572108043910648619966424]
P11 = [1563701041382015428389253094, 57173020323154937707960574072870217692212]
P12 = [2732351879699705410105960064, 139108345516407208638412900513374941614264]
P13 = [393337461706575748426283282, 17047298404861392355967753865722399460]
P14 = [445353265742356230110015920, 2350722962453393371319406248024344782536]
P15 = [354497790513135295319149744, 291368000806436319496368157586526918344]