curve #799

y² = x³ − 394654495872x + 90997119655445545

a-invariants: [0, 0, 0, -394654495872, 90997119655445545]
rank (lower bound): ≥ 14
torsion subgroup: trivial
conductor (N): 367083655536031097149711771782876
discriminant (Δ): 356805313181022226429519842172955472
Faltings height: 5.5790
naive height: 91.7174
primes of bad reduction: 2, 3, 643, 2380633, 148384867, 44892057757567
regulator: 12425217847.3013978945706627153072833918204861162534293324564097174
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:42:05 UTC
last updated: 2026-09-18 12:42:05 UTC

(444926, 59010543)
(212942, -128896497)
(-2662, 303393591)
(595110, -258642625)
(595127, 258664572)
(2179577/4, 1554072147/8)
(158294, 180255519)
(-712861, -100378134)
(434435, -39216690)
(1867394, 2421966969)
(1135811, -1052623422)
(7798841/4, -20758582413/8)
(266288, 69192909)
(55604, -263105811)

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

last edited by Michael Rubinstein at 2026-09-18 12:42:05 UTC · history