Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #769

y² + xy + y = x³ − x² − 311982x + 54679485

a-invariants: [1, -1, 1, -311982, 54679485]
rank (lower bound): ≥ 8
torsion subgroup: trivial
conductor (N): 320064134345894
discriminant (Δ): 655491347140390912
Faltings height: 2.1355
naive height: 49.5657
primes of bad reduction: 2, 160032067172947
regulator: 4095.00003615683128079381966747155347999746717356403825
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:21:20 UTC
last updated: 2026-09-18 12:21:20 UTC

Witness: 8 independent points log in to add more points →

(201, -349)
(-487, 9779)
(185, 1715)
(-31, -8005)
(433, 579)
(761, 15667)
(505, 4819)
(1665, 63579)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:21:20 UTC · history

Log in to edit commentary.