Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #2057

y² + xy = x³ − 3809x + 56784

a-invariants: [1, 0, 0, -3809, 56784]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 486291
discriminant (Δ): 2128310430129
Faltings height: 1.0671
naive height: 36.3490
primes of bad reduction: 3, 13, 37, 337
regulator: 155.63249439377693705709040923697679252300595
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:11:02 UTC
last updated: 2026-09-26 05:11:02 UTC

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

(1105, -37232)
(1105/9, -34099/27)
(5785/81, 256607/729)

Commentary

2-isogenous partner of curve#1159 (David Renshaw).

last edited by Steps Unbounded at 2026-09-26 21:53:32 UTC · history

Log in to edit commentary.