Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1562

y² + xy + y = x³ − x² − 8252027065587x + 9119880681963961299

a-invariants: [1, -1, 1, -8252027065587, 9119880681963961299]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/7ℤ
conductor (N): 886804730
discriminant (Δ): 33111839678371283076065064386560000000
Faltings height: 6.1490
naive height: 100.8380
primes of bad reduction: 2, 5, 7, 73, 173543
regulator: 81.277495599035305731041553434726174259345706
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:06:18 UTC
last updated: 2026-09-25 01:06:18 UTC

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

(1295707, 775867746)
(781497003/529, 4753650921582/12167)
(460409523/289, 632934523498/4913)

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 01:06:19 UTC · history

Log in to edit commentary.