Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1506

y² + xy + y = x³ + x² + 111x + 4956

a-invariants: [1, 1, 1, 111, 4956]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ
conductor (N): 65481
discriminant (Δ): -10501908261
Faltings height: 0.6025
naive height: 30.5212
primes of bad reduction: 3, 13, 23, 73
regulator: 3.2547658292584720437153780599817264233161532
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:43:19 UTC
last updated: 2026-09-25 00:43:19 UTC

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

(27, 155)
(-12, 51)
(66, 519)

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 00:43:19 UTC · history

Log in to edit commentary.