curve #3915

y² + xy = x³ − 4264798624262489190529560811588x + 3372147693131824249035719988004068928196018192

a-invariants: [1, 0, 0, -4264798624262489190529560811588, 3372147693131824249035719988004068928196018192]
rank (lower bound): ≥ 20
torsion subgroup: trivial
conductor (N): 13691433579863406139333858198526747945294232828622122959604991050
discriminant (Δ): 52064351996547488121855263750425526234984362450484957153754309737473526594425629912084480000
Faltings height: 16.4377
naive height: 223.1974
primes of bad reduction: 2, 3, 5, 7, 13, 17, 23, 29, 37, 109, 229, 9473, 777762363109131904460294690109535661436736151
regulator: 3539490466918164929.38019528043842916607946097149094847924317197028400035827403
submitted by: 7fff-zip
submitted at: 2026-10-04 15:33:00 UTC
last updated: 2026-10-04 15:33:00 UTC

(1262216918908232, -6618799102558453636)
(1262221445812796, 48725334169591475480)
(6788485498562, 57820381198688321137814)
(-2362885128212, 58156899068991025133740)
(1119122992223432, 971453760907328327804)
(1119646837301552, 823891975491036244604)
(1120943923311212, 175378728617278984364)
(1120990838217056, -86779353478336108636)
(1262259531272312, 148277821632399341564)
(1262412283104272, 317422017598822292084)
(1263150098938352, 695499786161699405204)
(1263161425680328, 699736555528459739260)
(1263236153551568, 727086805062366371252)
(18941153964812, 57370500086202921851564)
(48807340115912, 56250426488393513328764)
(93970270853018, 54518008055524286492030)
(96498587094182, 54419658571617701895554)
(96637519279016, 54414250045776538154204)
(-2131921886648, -58148429908702513369796)
(-26438178197368, 59032895245034044958204)

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