Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #4369

y² + xy = x³ + 2032427265x + 159256014542361

a-invariants: [1, 0, 0, 2032427265, 159256014542361]
c-invariants: [-97556508719, -137597050229836825]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 46446577914
discriminant (Δ): -11493877372212961300207190012928
Faltings height: 4.6408
naive height: 78.9262
primes of bad reduction: 2, 3, 11, 17, 47, 79, 11149
regulator: 135.4619515856727741078083449864963673944392102
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:32 UTC
last updated: 2026-10-17 10:06:32 UTC

Witness: 4 independent points log in to add more points →

(7854, 13251381)
(116028, 44181159)
(1971167/4, 2778903589/8)
(1213494/25, 2408770137/125)

Commentary

BASE families/family_Z5.tsv.gz:16 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:32 UTC · history

Log in to edit commentary.