Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #1371

y² = x³ − x² − 13529151260x + 233379618875076

a-invariants: [0, -1, 0, -13529151260, 233379618875076]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/2ℤ
conductor (N): 334879589896641804408
discriminant (Δ): 134957842398024078814938277754112
Faltings height: 4.8584
naive height: 81.5979
primes of bad reduction: 2, 3, 17, 31, 37, 41, 59, 89, 373, 733, 12157
regulator: 155991.11217505415647176314013753805135935447278110182694
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:40:26 UTC
last updated: 2026-09-24 17:40:26 UTC

Witness: 9 independent points log in to add more points →

(-117356, 14311378)
(-105712, 21959682)
(106924, 3035078)
(-93676, 26051922)
(107160, 3759126)
(-59710, -28780524)
(203756, 77044986)
(-56378/9, 481390676/27)
(232948, 98603278)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:40:26 UTC · history

Log in to edit commentary.