Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #4435

y² + xy = x³ − 14470x + 1656711

a-invariants: [1, 0, 0, -14470, 1656711]
c-invariants: [694561, -1432440145]
rank (lower bound): ≥ 8
torsion subgroup: trivial
conductor (N): 993529014001123
discriminant (Δ): -993529014001123
Faltings height: 1.5646
naive height: 42.1653
primes of bad reduction: 223, 4455287058301
regulator: 19510.4387074131242093931951727871377377623835420185098
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:49 UTC
last updated: 2026-10-17 10:23:49 UTC

Witness: 8 independent points log in to add more points →

(70, 959)
(-99, 1506)
(229, 3105)
(-9, 1341)
(53, 993)
(194, -2579)
(117, -1311)
(-145, 916)

Commentary

BASE records/rank_8.md#16 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:49 UTC · history

Log in to edit commentary.