Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #4494

y² + y = x³ + x² − 2324x + 134448

a-invariants: [0, 1, 1, -2324, 134448]
c-invariants: [111568, -116832664]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 7095565842763
discriminant (Δ): -7095565842763
Faltings height: 1.1502
naive height: 37.1525
primes of bad reduction: 2441123, 2906681
regulator: 2650.369789678371133332819383697229855033448103301456
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:31:25 UTC
last updated: 2026-10-17 10:31:25 UTC

Witness: 7 independent points log in to add more points →

(6, 347)
(13, 326)
(77, 646)
(28, 303)
(48, -369)
(54, 411)
(39, 323)

Commentary

BASE records/rank_7.md#16 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:31:25 UTC · history

Log in to edit commentary.