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curve #5497

y² + y = x³ + 608796855542

a-invariants: [0, 0, 1, 0, 608796855542]
c-invariants: [0, -526000483188504]
rank (lower bound): ≥ 9
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 219634732632966645654243
discriminant (Δ): -160113720089432684681943147
Faltings height: 3.7070
naive height: 67.7926
primes of bad reduction: 3, 30064042249
regulator: 11000534.594308840214775102582866669618834442736065363466
submitted by: Daniel Błażewicz
submitted at: 2026-10-22 12:23:56 UTC
last updated: 2026-10-22 12:23:56 UTC

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

(-7290, 470506)
(-828, 779890)
(720, 780493)
(9153/4, 6303155/8)
(6462, 937354)
(9162, 1173829)
(36072, 6895309)
(122400, 42829618)
(156537/16, 79557421/64)

Commentary

3-isogeny of curve#5496

last edited by Daniel Błażewicz at 2026-10-22 12:25:22 UTC · history

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