curve #796

y² + xy = x³ + x² − 3995010842x + 89438160269040

a-invariants: [1, 1, 0, -3995010842, 89438160269040]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 104152679378220272626439315022
discriminant (Δ): 624916076269321635758635890132
Faltings height: 4.4574
naive height: 77.9385
primes of bad reduction: 2, 3, 45623969, 380475006380309556973
regulator: 1049329684.431050243109111106771320504762367695231664391798022271
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:41:35 UTC
last updated: 2026-09-18 12:41:35 UTC

(18104, 4791632)
(49295, -3530905)
(22456, -3335496)
(67792, -11443084)
(25518, 2014752)
(53239, -5285086)
(-72067, -1713865)
(83702, 18437186)
(-59218, -10849504)
(-11158, 11521892)
(27714, -100836)
(7277, 7790711)
(-51601, -12551638)

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

last edited by Michael Rubinstein at 2026-09-18 12:41:35 UTC · history