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curve #4804

y² + y = x³ + 37785

a-invariants: [0, 0, 1, 0, 37785]
c-invariants: [0, -32646456]
rank (lower bound): ≥ 5
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 205592416929
discriminant (Δ): -616777250787
Faltings height: 0.9412
naive height: 34.6025
primes of bad reduction: 3, 151141
regulator: 498.370382184184917591029793965170907349113177761
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 21:38:45 UTC
last updated: 2026-10-20 21:38:45 UTC

Witness: 5 independent points log in to add more points →

(-9, 192)
(-7, 193)
(23, 223)
(105/4, 1887/8)
(275, 4564)

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