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curve #5501

y² + y = x³ + 680007592928

a-invariants: [0, 0, 1, 0, 680007592928]
c-invariants: [0, -587526560290008]
rank (lower bound): ≥ 9
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 274020934186709664835347
discriminant (Δ): -199761261022111345664967963
Faltings height: 3.7255
naive height: 68.0139
primes of bad reduction: 3, 733, 4019, 11399
regulator: 11863062.374913768509164001939887449180994097277541054411
submitted by: Daniel Błażewicz
submitted at: 2026-10-22 13:45:58 UTC
last updated: 2026-10-22 13:45:58 UTC

Witness: 9 independent points log in to add more points →

(-3096, 806431)
(1962, 829192)
(2974, 840423)
(7924, 1085151)
(13554, 1780456)
(20664, 3082783)
(21618, 3283735)
(79038, 22235800)
(181476/25, 128847776/125)

Commentary

3-isogenous to curve#5500

last edited by Daniel Błażewicz at 2026-10-22 13:46:46 UTC · history

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