curve #2108

y² + xy = x³ − 7608879975600991516562894798564370x + 255463709303841805956674597822751682304043238224900

a-invariants: [1, 0, 0, -7608879975600991516562894798564370, 255463709303841805956674597822751682304043238224900]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/6ℤ
conductor (N): 404821357015884694427452922130
discriminant (Δ): 2347276413985375194075415917667623968490884749676989122327157818626304931879671268339089408000
Faltings height: 17.8410
naive height: 245.6575
primes of bad reduction: 2, 3, 5, 7, 17, 37, 41, 61, 197, 877, 1279, 1723, 1783, 1805123
regulator: 7786108838.34870412759312559220938850102462274199845280
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:58:10 UTC
last updated: 2026-09-26 06:58:10 UTC

(50362184587503750, -191304610503676973070)
(10736621156083067156600/175561, 319475922420589938470540601882730/73560059)
(78278319805286226, 11811156125557730915788572)
(50366337071923652, -1828510483686907922914)
(66013089677342472, 6391018896817058708676762)
(215061361154614016740/1089, 2887247322590700321001993499870/35937)
(6173457283113110943780/3481, 484480922892455479770453282933210/205379)
(116868551483914435140/2209, 103525901120326672735093083330/103823)

2-isogenous partner of curve#1911 (Dujella - Eroshkin (2008)).

last edited by Steps Unbounded at 2026-09-26 21:48:29 UTC · history