curve #787

y² = x³ − x² − 1006329305x + 12582779623101

a-invariants: [0, -1, 0, -1006329305, 12582779623101]
rank (lower bound): ≥ 12
torsion subgroup: trivial
conductor (N): 33024990362154035341284168
discriminant (Δ): -3170399074766787392763280128
Faltings height: 4.0573
naive height: 73.8498
primes of bad reduction: 2, 3, 193, 3931, 99289, 18267115229761
regulator: 55154563.886979858573003329130569559421318065699200613740063285
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:40:04 UTC
last updated: 2026-09-18 12:40:04 UTC

(19253, 586698)
(4061, 2926266)
(14841, 957306)
(39233, -5786922)
(16099, 744398)
(19837, 652550)
(31601, 3512586)
(27909, 2497002)
(20673, 783318)
(43787, -7243590)
(14537, 1012710)
(15691, 809606)

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

last edited by Michael Rubinstein at 2026-09-18 12:40:04 UTC · history