Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1366

y² = x³ − x² − 25163446025x + 747980909914761

a-invariants: [0, -1, 0, -25163446025, 747980909914761]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/2ℤ
conductor (N): 1453787056802868890304
discriminant (Δ): 778054062456261358784217542725632
Faltings height: 5.0069
naive height: 83.4596
primes of bad reduction: 2, 3, 17, 23, 31, 41, 71, 79, 487, 7823
regulator: 240337.83010932719989538552254023580080587338776946596637
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:39:32 UTC
last updated: 2026-09-24 17:39:32 UTC

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

(-171595, 3644856)
(-141959, 38201176)
(-43937, 42056708)
(-169839, 11073936)
(-36056, 40104847)
(-6520, 30195519)
(189369, -52665528)
(141941, 5996376)
(4985, -24953256)

Commentary

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

last edited by Michael Rubinstein at 2026-09-24 17:39:33 UTC · history

Log in to edit commentary.