curve #794

y² + y = x³ + x² − 3915257350x + 93169964920370

a-invariants: [0, 1, 1, -3915257350, 93169964920370]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 91004323775371737344808170357
discriminant (Δ): 91004323775371737344808170357
Faltings height: 4.3627
naive height: 77.8780
primes of bad reduction: 211, 367, 577, 11856819173, 171778773541
regulator: 1606656104.625134821490633807626960987063209437874319733767478467
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:41:14 UTC
last updated: 2026-09-18 12:41:14 UTC

(29892, 1686841)
(3837, -8843282)
(-1366, 9925505)
(45691, 3109283)
(50745, -5016371)
(39928, 705822)
(32734, -289770)
(32171, 713708)
(28082, -2316879)
(65150, 10706345)
(31874, -870930)
(4006, 8806233)
(14239, -6348840)

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

last edited by Michael Rubinstein at 2026-09-18 12:41:14 UTC · history