Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #4366

y² + y = x³ + x² − 8393098480x + 296167359186256

a-invariants: [0, 1, 1, -8393098480, 296167359186256]
c-invariants: [402868727056, -255891015549287704]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 30545235435
discriminant (Δ): -54006787961804185553495896875
Faltings height: 4.4418
naive height: 80.1671
primes of bad reduction: 3, 5, 11, 13, 17, 837659
regulator: 71.35250397629608475638327693185147441794366389
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:27 UTC
last updated: 2026-10-17 10:06:27 UTC

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

(-94060, 15920287)
(57665, 1983262)
(102305, 22545022)
(209390, 87859612)

Commentary

BASE families/family_Z5.tsv.gz:10 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:27 UTC · history

Log in to edit commentary.