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curve #4846

y² + y = x³ − 17530

a-invariants: [0, 0, 1, 0, -17530]
c-invariants: [0, 15145704]
rank (lower bound): ≥ 3
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 1238769
discriminant (Δ): -132750202347
Faltings height: 0.8132
naive height: 33.0665
primes of bad reduction: 3, 7, 53
regulator: 9.0329478864339722822317626750667246085309748
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 22:05:01 UTC
last updated: 2026-10-20 22:05:01 UTC

Witness: 3 independent points log in to add more points →

(105/4, 185/8)
(28, 66)
(168, 2173)

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