curve #1221

y² + xy = x³ − x² − 33047232934x + 1847231190024964

a-invariants: [1, -1, 0, -33047232934, 1847231190024964]
rank (lower bound): ≥ 14
torsion subgroup: trivial
conductor (N): 104471690210778059301300532983854
discriminant (Δ): 835773521686224474410404263870832
Faltings height: 5.0320
naive height: 84.2772
primes of bad reduction: 2, 43618453, 3061099949, 391219827025991
regulator: 15469840269.3570336375159186630823994293453877260301529719640958723
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:26:47 UTC
last updated: 2026-09-24 14:26:47 UTC

(-244, 43073254)
(57447, 11733440)
(17416, 35725910)
(60245, 8627518)
(177068, 39246270)
(23352, 32976898)
(156344, 22328578)
(-204032, 9911870)
(-186356, 39257958)
(-115877, -64134735)
(217920, 70561918)
(21519, -33864152)
(-104831, 64547013)
(218832, -71486642)

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

last edited by Michael Rubinstein at 2026-09-24 14:26:47 UTC · history