Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1587

y² = x³ + x² + 3775x + 26719

a-invariants: [0, 1, 0, 3775, 26719]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/2ℤ
conductor (N): 7440832
discriminant (Δ): -3722082746368
Faltings height: 1.1012
naive height: 36.3218
primes of bad reduction: 2, 7, 17, 977
regulator: 37.52164252227090168387053594019625822053509288
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:23:00 UTC
last updated: 2026-09-25 01:23:00 UTC

Witness: 4 independent points log in to add more points →

(-5, 88)
(11, 264)
(91, 1064)
(43, 520)

Commentary

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

last edited by Michael Rubinstein at 2026-09-25 01:23:00 UTC · history

Log in to edit commentary.