curve #344

y² + xy + y = x³ − x² − 2170332799426280x + 38217297474283536107947

a-invariants: [1, -1, 1, -2170332799426280, 38217297474283536107947]
rank (lower bound): ≥ 11
torsion subgroup: trivial
conductor (N): 12662724500692820092742048787150
naive height: 117.5546
Faltings height: 7.6875
discriminant (Δ): 23310274018642655247325927715963089758842880000
primes of bad reduction: 2, 3, 5, 11, 17, 47, 59, 107, 507153457455457305011
regulator: 22904308.4857318055099126338630893462762860112212620911786678
submitted by: Daksh Shami
submitted at: 2026-08-24 23:54:11 UTC
last updated: 2026-08-24 23:54:11 UTC

(20388829, -49431624055)
(-36473468861/841, 5495929858701205/24389)
(-25231691, 277348160705)
(1198289923441/66049, 1177559446668783805/16974593)
(89102891/4, 243215256485/8)
(3109446646109/130321, 191631155705522225/47045881)
(3014686871741/85849, 1831961267744147045/25153757)
(72735853, 514905988025)
(127253389, 1350011665145)
(479515849, 10452281488385)
(69338653, 470177092121)

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