curve #784

y² = x³ − 1410298617x + 20439456397265

a-invariants: [0, 0, 0, -1410298617, 20439456397265]
rank (lower bound): ≥ 12
torsion subgroup: trivial
conductor (N): 26585567392338965114027388
discriminant (Δ): -957080426124202744104985968
Faltings height: 4.0454
naive height: 74.8201
primes of bad reduction: 2, 3, 57107, 59827337, 72049863079
regulator: 47954724.967147693597211555742337097933216294642704863874845754
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:39:33 UTC
last updated: 2026-09-18 12:39:33 UTC

(22297, 281283)
(16153, -1368771)
(19888, 507729)
(21979, 245031)
(20533, 372279)
(-39929, 3618213)
(18721, 773637)
(16867, 1204383)
(23416, -505083)
(33463, 3273771)
(21251, -257407)
(13663, 1929021)

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

last edited by Michael Rubinstein at 2026-09-18 12:39:33 UTC · history