curve #3804

y² = x³ − 10687932892x + 428567179534420

a-invariants: [0, 0, 0, -10687932892, 428567179534420]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 37736703744881212022095388824
discriminant (Δ): -1207574519836198784707052442368
Faltings height: 4.5956
naive height: 80.9061
primes of bad reduction: 2, 1358457589, 3472385156744228327
regulator: 739301965.5393724064772792833708796920208461309517901687317608239
submitted by: Michael Rubinstein
submitted at: 2026-10-02 09:36:51 UTC
last updated: 2026-10-02 09:36:51 UTC

(-108415, 17692085)
(-88796, 26028454)
(-79578, 27841538)
(-8284, 22727462)
(-5902, 22168486)
(57310, 2067070)
(58458, 1882214)
(60404, 1834646)
(67422, 3800962)
(79204, 8883046)
(94946, 16422682)
(193838, 75099586)
(263257/4, 25580413/8)

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

last edited by Michael Rubinstein at 2026-10-02 09:36:51 UTC · history