curve #105

y² + xy + y = x³ − x² − 46496231372x + 3827433258938575

a-invariants: [1, -1, 1, -46496231372, 3827433258938575]
rank (lower bound): ≥ 12
conductor (N): 1264178492449062735461483178
naive height: 85.3015
Faltings height: 4.9650
discriminant (Δ): 104856020877695059530117260716032
primes of bad reduction: 2, 3, 655657, 107117194614550556453
regulator: 703896103.94797884020123281580587091171576593109950500826130294
submitted by: David Renshaw
last updated: 2026-07-01 22:46:38

(1009, 61485425)
(33409, 48059585)
(44917, 42751157)
(74813, 27668797)
(105061, 10053317)
(107167, 8626907)
(110005, 6562229)
(111421, 5423237)
(133741, 1003877)
(141443, 8905789)
(146971, 12905837)
(234613, 76254389)

Found by Zev Klagsbrun.

last edited by David Renshaw at 2026-06-24 02:36:13 · history