Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1296

y² + xy + y = x³ − 103938601x + 377789890448

a-invariants: [1, 0, 1, -103938601, 377789890448]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/3ℤ
conductor (N): 90501861450
discriminant (Δ): 10203750457923184329667500
Faltings height: 3.5412
naive height: 66.9915
primes of bad reduction: 2, 3, 5, 7, 11, 13, 602743
regulator: 43.0576669962502080122211393079543525566545608101
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:27:32 UTC
last updated: 2026-09-24 17:27:32 UTC

Witness: 5 independent points log in to add more points →

(-5663, 888716)
(-1043, 696986)
(-7637/4, 6043663/8)
(2917, 313856)
(8743/4, -3219227/8)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:27:32 UTC · history

Log in to edit commentary.