curve #1218

y² + y = x³ − 38590905927x + 2925614575527106

a-invariants: [0, 0, 1, -38590905927, 2925614575527106]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 79782239205970094033438692041
discriminant (Δ): -19387084127050732850125602165963
Faltings height: 4.8722
naive height: 84.7477
primes of bad reduction: 3, 145668961891, 60855058826745739
regulator: 918778207.3749302207527116710455333530797719720105231596380991829
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:25:59 UTC
last updated: 2026-09-24 14:25:59 UTC

(109675, 3520552)
(110998, -3107777)
(78544, 19470001)
(-135368, 75293014)
(97511, -9473641)
(112078, -2878952)
(80827, 18288535)
(375748, 203655901)
(122518, -6050624)
(111277, 3038035)
(95650, -10463693)
(116191, -3212105)
(128719, 9535351)

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

last edited by Michael Rubinstein at 2026-09-24 14:25:59 UTC · history