Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1460

y² + xy + y = x³ − x² − 86887443x + 955765036083

a-invariants: [1, -1, 1, -86887443, 955765036083]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/7ℤ
conductor (N): 4034954
discriminant (Δ): -352627532273355203715006464
Faltings height: 3.7785
naive height: 68.6947
primes of bad reduction: 2, 7, 11, 19, 197
regulator: 15.3571808914432080455563087518964893955414
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:04:18 UTC
last updated: 2026-09-25 00:04:18 UTC

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

(-1541, 1042882)
(151507/9, 55522678/27)

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 00:04:19 UTC · history

Log in to edit commentary.