curve #2023

y² = x³ − 700989342962789344428867x + 225899445273369919505056216599092674

a-invariants: [0, 0, 0, -700989342962789344428867, 225899445273369919505056216599092674]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/2ℤ
conductor (N): 81988082219777126188462072560
discriminant (Δ): 7348646712274321416635445837713783611867780529001435459147469824000
Faltings height: 12.2217
naive height: 176.3339
primes of bad reduction: 2, 3, 5, 7, 11, 31, 41, 89, 107, 109, 127, 131, 137, 163, 337, 1279
regulator: 35628697642.57981255965173108151241631110098387752269159035
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:02:12 UTC
last updated: 2026-09-26 05:02:12 UTC

(483706329863, -331872261899310)
(485262375138, -2251336853607610)
(512121756903, -34943607174097490)
(4548049482607/9, -719102958541045210/27)
(35807970847257/64, -48143845669046363005/512)
(935296232418, -623252995473710470)
(483577658463, -122474429127490)
(1308654232635743/1681, -26869987233800647557390/68921)
(9349385629421663/19321, 1566839017146109381290/2685619)
(23704567164191/49, 141966873620186670/343)

2-isogenous partner of curve#1085 (dujella); 4-isogenous partner of curve#1137 (David Renshaw). Isogenous to curve#2091 (also ours).

last edited by Steps Unbounded at 2026-09-26 21:41:49 UTC · history