Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #2028

y² = x³ − x² + 6016054524x + 116257724857470

a-invariants: [0, -1, 0, 6016054524, 116257724857470]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/2ℤ
conductor (N): 2816328834972349120320
discriminant (Δ): -19774318400892431111214985346880
Faltings height: 4.6929
naive height: 79.1667
primes of bad reduction: 2, 3, 5, 13, 41, 61, 71, 181, 2521, 2785129
regulator: 199316246.80002609304282164625862743359864305764378527938
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:04:03 UTC
last updated: 2026-09-26 05:04:03 UTC

Witness: 9 independent points log in to add more points →

(-7489, -8413288)
(363619, 224456982)
(57101/4, -114555769/8)
(449551, -306060588)
(487781/4, -412855541/8)
(80291, 33419962)
(-289631/16, 76358967/64)
(1139471, 1219201612)
(25795, -16988370)

Commentary

2-isogenous partner of curve#1370 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:42:56 UTC · history

Log in to edit commentary.