curve #2025

y² = x³ + x² − 3012444009560673782488696x + 2012429692420275157437539991754918004

a-invariants: [0, 1, 0, -3012444009560673782488696, 2012429692420275157437539991754918004]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/2ℤ
conductor (N): 4657769562016239402262819770480
discriminant (Δ): 47316074473003381599981849419782632482091808021400403801358505514240000
Faltings height: 12.6956
naive height: 180.7080
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 29, 47, 59, 73, 127, 211, 227, 229, 337, 421, 983
regulator: 11319447683.05645837093323825439912771530851228127150285460
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:03:02 UTC
last updated: 2026-09-26 05:03:02 UTC

(1010282487044, -13266622614379050)
(9501151328140/9, -2528123227973005474/27)
(1706011672414355/1681, 1490956910515914536772/68921)
(326080984234316/289, 1097372141135526044250/4913)
(7748760888419, -21069666813946835700)
(29083674578439389/28900, -26010785069081480751363/4913000)
(25224295385996/25, 1347683736004056594/125)
(1239973375100, -428462966760724602)
(308588549699591516/284089, -22390316961298175520996750/151419437)
(967412947002659/961, -180065614433159189700/29791)

2-isogenous partner of curve#1878 (Dujella - Peral (2020)).

last edited by Steps Unbounded at 2026-09-26 21:42:03 UTC · history