curve #1227

y² + xy = x³ − x² − 2671180080340x + 1519287911839041556

a-invariants: [1, -1, 0, -2671180080340, 1519287911839041556]
rank (lower bound): ≥ 15
torsion subgroup: trivial
conductor (N): 22264540822862075051759146026785848030
discriminant (Δ): 222645408228620750517591460267858480300
Faltings height: 6.0929
naive height: 97.4542
primes of bad reduction: 2, 5, 48311, 46085862066324594919912951557173
regulator: 427016017903.68140004535569283876590549010993209418800454645926927076
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:35:50 UTC
last updated: 2026-09-24 14:35:50 UTC

(1345643, -601889654)
(665977, 188666415)
(1175928, 64623206)
(-581855, -1695744769)
(1492778, 925694766)
(662653, 200165516)
(-1853939, 316102167)
(-1845382, -404422904)
(520103, -520539309)
(651678, -235476134)
(303398, 858210136)
(2899298, 4258365766)
(530893, -501072489)
(480648, -588824114)
(2315130, -2783935106)

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

last edited by Michael Rubinstein at 2026-09-24 14:35:50 UTC · history