curve #3529

y² + xy + y = x³ + x² − 97134787648738961751328852225863x + 139344950131548670510106584939227712084038590781

a-invariants: [1, 1, 1, -97134787648738961751328852225863, 139344950131548670510106584939227712084038590781]
rank (lower bound): ≥ 16
torsion subgroup: ℤ/2ℤ
conductor (N): 11295873917088249179522235693451896437885004482470852950
discriminant (Δ): 50266757638724191410541676937325885243748652367208549866136086387441482683010514168139782404000000
Faltings height: 17.4401
naive height: 232.5746
primes of bad reduction: 2, 3, 5, 7, 13, 17, 23, 29, 43, 53, 61, 71, 83, 97, 109, 167, 241, 277, 421, 449, 3533, 5563, 14923, 16267, 838003
regulator: 78325801666826.82795113385953279663931373913257223778904496367731415214
submitted by: wgxli
submitted at: 2026-09-27 20:36:31 UTC
last updated: 2026-09-27 20:36:31 UTC

(1466569271867725, 6662567848599389528162)
(1440692235460375, 48927579453848450767862)
(1444815957825879, 44934421433301171984438)
(817847390396311, 245866944667537653194870)
(885995080484425, 232334889320745964871162)
(9057404467398835, 50934636443949858547082)
(9058796812557975, 52932167787307549644662)
(9081273800998175, 78522380880517060369662)
(-117191563950375, 388235390404771745062362)
(-257798384509391, 405424479143922274298852)
(-269379713725141, 406806518969275032290538)
(-1348265646167529, 517549556531912823504630)
(-1579322818522265, 537413151086252163478982)
(-9650163816691305, 421940370759642506320502)
(10553310249169235, 538143506215175068173282)
(10796121016955185, 590780141036312268079082)

2-isogenous to curve #3527.

last edited by wgxli at 2026-09-27 20:36:31 UTC · history