curve #2087

y² = x³ + x² − 44096177923495208643276x − 13127253694246749193958877902010

a-invariants: [0, 1, 0, -44096177923495208643276, -13127253694246749193958877902010]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 23354778245864734004307533064634560
discriminant (Δ): 5487530246558041661262879662061492376477533239190156985964379513240000
Faltings height: 12.0712
naive height: 168.0356
primes of bad reduction: 2, 3, 5, 11, 13, 19, 23, 29, 31, 41, 43, 53, 61, 71, 97, 101, 103, 113, 139, 181, 373
regulator: 134626083002.675186460383627562439976572126426296192064131948
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:54:10 UTC
last updated: 2026-09-26 06:54:10 UTC

(-51741819159, -46151545929413574)
(500773387317, 321691806706857900)
(-7890482271/25, -111124878384094458/125)
(8233076255817, -23615758119092455650)
(3366412082697/16, -307764583377703725/64)
(420758203750689/400, -8456980163036971143513/8000)
(615535136134077/1156, -14032961207988403390275/39304)
(16259779633749/49, -50751554300529619272/343)
(523592769381, -347046207576241656)
(-168286255179, 51397882018926564)
(-493363627491/4, -476611550471411763/8)

2-isogenous partner of curve#1202 (NDElkies); 4-isogenous partner of curve#1375 (jesper-petersen). Isogenous to curve#2088 (also ours).

last edited by Steps Unbounded at 2026-09-26 21:39:50 UTC · history