Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1556

y² + y = x³ − 623707357x + 5855834156712

a-invariants: [0, 0, 1, -623707357, 5855834156712]
rank (lower bound): ≥ 11
torsion subgroup: trivial
conductor (N): 45736274050575999818365
discriminant (Δ): 714629282040249997161953125
Faltings height: 3.9337
naive height: 72.3672
primes of bad reduction: 5, 438259, 20871801400804547
regulator: 4471837.01709708120987399338231574096621403145070155739332865
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:05:07 UTC
last updated: 2026-09-25 01:05:07 UTC

Witness: 11 independent points log in to add more points →

(16187, 34412)
(2162, 2125437)
(-11588, -3395188)
(17412, 524187)
(16287, 133812)
(11712, 396887)
(24362, 2262762)
(56537, 12300812)
(12037, -303813)
(95673/4, -17197329/8)
(20287, -1245813)

Commentary

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

last edited by Michael Rubinstein at 2026-09-25 01:05:07 UTC · history

Log in to edit commentary.