curve #790

y² + y = x³ − 13219745917x + 236237043476946

a-invariants: [0, 0, 1, -13219745917, 236237043476946]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 56327033117154259172161550881
discriminant (Δ): 123750491758387907401238927285557
Faltings height: 4.8515
naive height: 81.5285
primes of bad reduction: 13, 1453, 2982001859132524706027929
regulator: 808016125.4430767955647019213012898624658199381999346681934548109
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:40:34 UTC
last updated: 2026-09-18 12:40:34 UTC

(14472, -6924730)
(196381, 72205685)
(18320, 447102)
(744617, 635018754)
(312796, -163418275)
(141209, 34426658)
(123295, -21922518)
(9766, -10395405)
(171369, 54803586)
(106083, -5259534)
(-14752, 20689233)
(117588, -17539542)
(-50034, 27792420)

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

last edited by Michael Rubinstein at 2026-09-18 12:40:34 UTC · history