curve #1231

y² = x³ − 1336053036892x + 648846883908105865

a-invariants: [0, 0, 0, -1336053036892, 648846883908105865]
rank (lower bound): ≥ 15
torsion subgroup: trivial
conductor (N): 7309765093248775744134541632103899692
discriminant (Δ): -29239060372995102976538166528415598768
Faltings height: 5.9265
naive height: 95.5511
primes of bad reduction: 2, 1031, 1772493960535590626608763732323933
regulator: 408085263993.89964493360941877782671540877717660710192300102976320618
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:36:30 UTC
last updated: 2026-09-24 14:36:30 UTC

(341734, 481851179)
(264036, 560792347)
(-448705, -1076104090)
(-1262558, 568425317)
(697324, 237205259)
(722, 804911333)
(34176, 776676157)
(960464, -501632861)
(782170, -286966885)
(530696, -298786163)
(1049884, -635127979)
(733606, 252033323)
(691058, 235752421)
(1439756, -1307563723)
(819054, 322504619)

From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 14:36:30 UTC · history