curve #791

y² = x³ − 2831015167x + 93401186864770

a-invariants: [0, 0, 0, -2831015167, 93401186864770]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 72391879327606181200083239224
discriminant (Δ): -2316540138483397798402663655168
Faltings height: 4.5231
naive height: 77.8590
primes of bad reduction: 2, 4137088471, 2187283394924230193
regulator: 1051016982.725972296900183424547029528972926561148290551049855686
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:40:44 UTC
last updated: 2026-09-18 12:40:44 UTC

(20893, -6585814)
(-58759, 7541638)
(53189, 9659074)
(61739, -12407576)
(28091, -6003488)
(25489/9, -249521714/27)
(37581, -6331322)
(73083, -16638736)
(-48115, 10873210)
(95861, -26512558)
(58235, 11226320)
(57513, -10991786)
(21547, -6511912)

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

last edited by Michael Rubinstein at 2026-09-18 12:40:44 UTC · history