curve #2106

y² + xy = x³ − 65070862704854526304x + 196605980174576252447620834304

a-invariants: [1, 0, 0, -65070862704854526304, 196605980174576252447620834304]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 234533362997397291546
discriminant (Δ): 935056774381495751050468260919197170913710397856815196422144
Faltings height: 10.2831
naive height: 148.4796
primes of bad reduction: 2, 3, 17, 19, 53, 83, 89, 179, 257, 1753, 3833
regulator: 934216042.475595802049515705194645836546041126315263193
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:57:24 UTC
last updated: 2026-09-26 06:57:24 UTC

(8785993766, 550556261335982)
(36004441072/9, 478469958936032/27)
(-1310096992, -528777683473984)
(34117110615932/5929, -51458355399383957072/456533)
(-2985832313272/529, -7540255072505227232/12167)
(916059751771312/173889, 235795824303215292848/72511713)
(24981379759262/6889, 52173674873395179172/571787)
(39032614765006934896/14111301681, -325823973606742177053561704608/1676295637987671)

2-isogenous partner of curve#2082 (Seojun Jang).

last edited by Steps Unbounded at 2026-09-26 21:46:56 UTC · history