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curve #4908

y² + y = x³ + 218492

a-invariants: [0, 0, 1, 0, 218492]
c-invariants: [0, -188777304]
rank (lower bound): ≥ 6
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 20623188949947
discriminant (Δ): -20623188949947
Faltings height: 1.2337
naive height: 38.1122
primes of bad reduction: 3, 317, 919
regulator: 6352.9631412443992223419019243324731126085926663103
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 22:43:24 UTC
last updated: 2026-10-20 22:43:24 UTC

Witness: 6 independent points log in to add more points →

(-38, 404)
(-95/4, 3619/8)
(4, 467)
(10, 468)
(40, 531)
(232, 3564)

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