curve #795

y² + xy = x³ − x² − 27545930239x + 1795487044147729

a-invariants: [1, -1, 0, -27545930239, 1795487044147729]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 95119984373775027782254124026
discriminant (Δ): -54979350968041966058142883687028
Faltings height: 4.8766
naive height: 83.7712
primes of bad reduction: 2, 17, 35573, 103913, 233897539, 3235763899
regulator: 656685744.4006467634519643346086206867806785047435037279481961267
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:41:24 UTC
last updated: 2026-09-18 12:41:24 UTC

(119620, -14622367)
(51943, 22442070)
(103181, 7142869)
(115795, -12644842)
(700833, -571941170)
(118872, -14228545)
(66308, 16107105)
(103929, -7482962)
(-192024, -2000785)
(79296, 10438999)
(116560, -13032663)
(27803, 32407062)
(99628, 6275937)

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

last edited by Michael Rubinstein at 2026-09-18 12:41:24 UTC · history