Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1547

y² + xy + y = x³ − 17712981400868x + 28395557568840980306

a-invariants: [1, 0, 1, -17712981400868, 28395557568840980306]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ × ℤ/6ℤ
conductor (N): 11079083730
discriminant (Δ): 7351379757689977474288583575279142250000
Faltings height: 6.4610
naive height: 103.1296
primes of bad reduction: 2, 3, 5, 11, 13, 19, 29, 43, 109
regulator: 46.294825066350587768885868182009426615740267
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:53:31 UTC
last updated: 2026-09-25 00:53:31 UTC

Witness: 3 independent points log in to add more points →

(2170212, 418369429)
(2220405, 111154807)
(1997160, 991910782)

Commentary

Torsion Z/6+Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:53:32 UTC · history

Log in to edit commentary.