curve #3813

y² + xy = x³ − 98018784456781821849923420514679620x + 12058534260744885511526341346220989748744319538960400

a-invariants: [1, 0, 0, -98018784456781821849923420514679620, 12058534260744885511526341346220989748744319538960400]
rank (lower bound): ≥ 22
torsion subgroup: trivial
conductor (N): 100678466037903273109330171527287919591265951891856743267723757082676348410
discriminant (Δ): -2545430782622831069598013626331951457526205473932971462954448429798675955951458420317448003795030016000000
Faltings height: 19.0107
naive height: 253.3664
primes of bad reduction: 2, 3, 5, 7, 13, 17, 19, 29, 41, 53, 89, 139, 8269, 60631, 40182787, 1641886987141, 4427696561047946998330316805269
regulator: 231367125511902563267.4034886899685464344700817575212765980930218344375077834461559
submitted by: 7fff-zip
submitted at: 2026-10-03 04:55:25 UTC
last updated: 2026-10-03 04:55:25 UTC

(150660279277459140, -26660122825696091901622320)
(369433180039191240, 162073151513794354018701180)
(486137301556294920, -281596379137863842614514820)
(304476017787591720, -102180286123437285473280900)
(-151826670396101400, -153103207167197249994310020)
(83027271489915240, 67027254397500532201581180)
(37626813333409653192/121, -143651076375517653122824203084/1331)
(592874428652075640, -402915769858219624170242820)
(602388208336190115/4, 213564927339697312772629215/8)
(-320189039804691960, 103038669587752448259174780)
(132097310697476040, 37624125328963926152046780)
(4778064571440864200, -10422401828454025136278018180)
(105795858128084040, 53597582691508048224678780)
(1166322452212059240, -1218316404670662231438638820)
(5316531048949069320, -12237865818130252353574426500)
(269313580849385352, -72069451951895367500105988)
(-265431018312235860, 139194764679691542052960680)
(110951382799460005320/529, -327979048352458111531703242140/12167)
(44610445162561534410/529, 806365130134925770854922460760/12167)
(860746771331880195/4, 244030595787379691278489095/8)
(-32001742203579960, 123136236679699094507157180)
(172745808131657040, -16766857883164973230454220)

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