Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1462

y² + xy + y = x³ − x² − 3390568797x + 78225013360869

a-invariants: [1, -1, 1, -3390568797, 78225013360869]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/7ℤ
conductor (N): 4817290
discriminant (Δ): -148835417303052800000000000000
Faltings height: 4.3709
naive height: 77.5043
primes of bad reduction: 2, 5, 17, 43, 659
regulator: 20.9294777099679335166786074735874930294925
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:06:19 UTC
last updated: 2026-09-25 00:06:19 UTC

Witness: 2 independent points log in to add more points →

(27577, 2372586)
(23052007/841, 58816213704/24389)

Commentary

Torsion Z/7. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:06:19 UTC · history

Log in to edit commentary.