curve #3879

y² + xy = x³ − x² − 37686930696x + 2815574835904308

a-invariants: [1, -1, 0, -37686930696, 2815574835904308]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 60154466034351804780171914478
discriminant (Δ): 1082780388618332486043094460604
Faltings height: 4.7661
naive height: 84.6713
primes of bad reduction: 2, 3, 4493, 1841447, 134641355130576367
regulator: 2755150867298.359946864145256860916036368471218190261512481432699
submitted by: Michael Rubinstein
submitted at: 2026-10-04 12:44:05 UTC
last updated: 2026-10-04 12:44:05 UTC

(-706029/4, 504675441/8)
(-108786, 75074124)
(-9, 53065191)
(18957, 45903003)
(30664, 41079374)
(110541, 536091)
(237333, 84966144)
(35459871, 211136228631)
(3343357/16, 4073558907/64)
(3887601/25, 3333671559/125)
(29174217/256, 3313314963/4096)
(18287634/169, 4560132186/2197)
(321779256/2809, 181141768734/148877)

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

last edited by Michael Rubinstein at 2026-10-04 12:44:05 UTC · history