curve #762

y² + xy = x³ + x² − 546508862x + 5450614684680

a-invariants: [1, 1, 0, -546508862, 5450614684680]
rank (lower bound): ≥ 12
torsion subgroup: trivial
conductor (N): 23420861912249380220491254
discriminant (Δ): -2388927915049436782490107908
Faltings height: 3.9862
naive height: 72.1767
primes of bad reduction: 2, 3, 17, 72161, 3181999878845177657
regulator: 38363500.193086113487296600065773331547686763180811657588287342
submitted by: Michael Rubinstein
submitted at: 2026-09-18 11:17:53 UTC
last updated: 2026-09-18 11:17:53 UTC

(16703, -999613)
(-21326, 2732244)
(-26732, 992192)
(13958, -743230)
(77, 2325587)
(28977, 3720012)
(11348, -848500)
(-9046, 3111644)
(-3916, -2742256)
(15139, -811933)
(16465, -965460)
(-25372, 1740260)

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

last edited by Michael Rubinstein at 2026-09-18 11:17:53 UTC · history