curve #2098

y² + xy = x³ − 79673208340381298001791747308090x + 269761762624942770959304306794287458751131856100

a-invariants: [1, 0, 0, -79673208340381298001791747308090, 269761762624942770959304306794287458751131856100]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/4ℤ
conductor (N): 59581557002530875732300241072530
discriminant (Δ): 930828008170018151022620195244443848669512838740553700742750983482913972193981551876505600000000
Faltings height: 17.2132
naive height: 231.9801
primes of bad reduction: 2, 3, 5, 7, 13, 19, 23, 31, 107, 163, 563, 887, 1621, 1823, 6701, 9341
regulator: 203367184191.95135492731657200855887559120525415013388617
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:56:20 UTC
last updated: 2026-09-26 06:56:20 UTC

(17415081792057380, 2040583410243406920281510)
(11700078090204313604/1849, 10952613966108312556066012754/79507)
(606026878748141492820980/82101721, 215403188408236385813331918080521310/743923693981)
(898227131547434034334580/155475961, 92877598415443382508547723321460990/1938629757709)
(2041912011354518556920/284089, 39608229836276796520250159787070/151419437)
(51260605472744139220/3249, 317545353310659214761852432230/185193)
(2381810486294106680/361, 1213541614089073161021665990/6859)
(185627032139306751284/29929, 616910163450448641589503227374/5177717)
(3256694035842060457579319129/8421365824, 185802150065570819052582867951487672067519/772811898936832)

2-isogenous partner of curve#1827 (Klagsbrun (2020)). Isogenous to curve#2033, curve#2099 (also ours).

last edited by Steps Unbounded at 2026-09-26 21:44:44 UTC · history