Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #4438

y² + y = x³ − 14959x + 700260

a-invariants: [0, 0, 1, -14959, 700260]
c-invariants: [718032, -605024856]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 2396208409669
discriminant (Δ): 2396208409669
Faltings height: 1.2117
naive height: 40.4528
primes of bad reduction: 401, 74489, 80221
regulator: 1170.584677885728750931857475312298601289830336949741
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:57 UTC
last updated: 2026-10-17 10:23:57 UTC

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

(-60, 1175)
(43, 369)
(66, 21)
(78, 89)
(81, 141)
(83, 174)
(95, 369)

Commentary

BASE records/rank_7.md#37 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:57 UTC · history

Log in to edit commentary.