curve #2040

y² + xy + y = x³ − 25804449988855164443x + 46144993235639015061112806056

a-invariants: [1, 0, 1, -25804449988855164443, 46144993235639015061112806056]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/6ℤ
conductor (N): 3390853245957774330
discriminant (Δ): 179789894294918924565156468868102108720817362621544067843750
Faltings height: 10.1080
naive height: 145.7048
primes of bad reduction: 2, 3, 5, 19, 31, 37, 79, 229, 349, 467, 1759
regulator: 1604562.8419753299129406127746968779492045101369725
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:06:11 UTC
last updated: 2026-09-26 05:06:11 UTC

(5295482775/4, -956783168325439/8)
(-1011019440, -266833468846793)
(2182036804545/64, -3189172327549009531/512)
(565222370, 178157838235122)
(24835651685/16, 6345496451051223/64)
(642258978630/169, 119650612397792254/2197)

2-isogenous partner of curve#1096 (Dujella (2005)).

last edited by Steps Unbounded at 2026-09-26 21:49:49 UTC · history