curve #3877

y² = x³ − 39991088332x + 3219571125706420

a-invariants: [0, 0, 0, -39991088332, 3219571125706420]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 39939033574587811091814521464
discriminant (Δ): -384692771390429796436357470741248
Faltings height: 5.0108
naive height: 84.9392
primes of bad reduction: 2, 7, 43, 619, 1523, 17593429978970422459
regulator: 393768822.5459827550851122214610668497973086036162165611114682869
submitted by: Michael Rubinstein
submitted at: 2026-10-04 12:43:45 UTC
last updated: 2026-10-04 12:43:45 UTC

(-179322, 68003726)
(-68554, 75092878)
(-1732, 57348326)
(4596, 55098722)
(46514, 38210746)
(60274, 32064326)
(105510, 13216910)
(122882, 12684742)
(135782, 17113742)
(137932, 18102742)
(175385, 40006985)
(374346, 201762278)
(3207702, 5734118542)

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

last edited by Michael Rubinstein at 2026-10-04 12:43:45 UTC · history