Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #359

y² = x³ − x² − 306746316x + 2202727337316

a-invariants: [0, -1, 0, -306746316, 2202727337316]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 47093790124971822158520
naive height: 70.3645
Faltings height: 3.8122
discriminant (Δ): -248655211859851220996985600
primes of bad reduction: 2, 3, 5, 11, 35677113731039259211
regulator: 1291904.892548074738038422921849461644963209638050898046498
submitted by: Warricker-hash
submitted at: 2026-08-25 16:38:53 UTC
last updated: 2026-08-25 16:38:53 UTC

Witness: 10 independent points

(71554/9, 13936780/27)
(14928, 974694)
(17526, -1486500)
(-5340, -1920534)
(12381, 550110)
(469398, -321376044)
(5504, 825290)
(996, 1377750)
(-1600, 1639946)
(2418, 1214556)

Commentary

No commentary yet.

Log in to add commentary.