curve #575

y² = x³ + x² − 46992848424051798094793307668945x + 124747997836493706950374083743036567373146591475

a-invariants

[0, 1, 0, -46992848424051798094793307668945, 124747997836493706950374083743036567373146591475]

rank (lower bound)

≥ 22

torsion subgroup

trivial

conductor (N)

2229394614546176466599146730229608949237869287138056463724778634634017351560

naive height

230.4084

Faltings height

17.0444

discriminant (Δ)

-81171922634720253916503828388362111747778618917784700709942141173245388066784755900058616800000

primes of bad reduction

2, 3, 5, 13, 31, 53, 73, 34509773, 345270777854430622105457803963960334579321175451481572001933

regulator

629465385397027464423449.0341795802643844532901023809171352369384062942880047757566

submitted by

Jason Ma

submitted at

2026-09-04 17:10:49 UTC

later contributions

(365905702356379, -328027493723805652538970)
(3654188972922449678761/8410000, 7880756995871989453260652411923741/24389000000)
(111455570139685391785/169744, 21461483801658356316930676295715/69934528)
(-265376979829236165488190857/33504007681, -34636145126428401005067634611960264846/6132607069937921)
(4518410047966968721/1225, 1713418386005586417676281594/42875)
(169530230758139035/49, -20513256468497191856209110/343)
(-33015924578648867529335/47706649, 130536832629150178533454115062310850/329509824643)
(93289948481377174/25, 4595213170888791462393993/125)
(439293715689575461885/164836, -9087447442184687114153137671525/66923416)
(-238903157396986986719/218089, -42595090649588862775603462987530/101847563)
(-2057961571157420024279/413449, -128965884981417819286480456361730/265847707)
(102182172178716144739/32041, -490607331852124402367119448610/5735339)
(-22924420680635665265/3481, 79172752945819179924176524950/205379)
(-45897696432524855/16, 31087567173390546884871885/64)
(-362353841156829867485/113569, 18835615125847198289178468289350/38272753)
(-6176712717183575, 423505298270020304651310)
(3782210655746695, 33408283602112313910990)
(3849391000445110, 29894792580044957000475)
(-83010838941752519945/63001, -6790107745351054165434521896170/15813251)
(32688310112142480865/9409, 53372001922919799936222375450/912673)
(1640187766331840935/841, -4909206930976346144106454650/24389)
(486671113471538980315/134689, -2278003056013500038477820862650/49430863)

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