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curve #4712

y² + y = x³ + 10704

a-invariants: [0, 0, 1, 0, 10704]
c-invariants: [0, -9248472]
rank (lower bound): ≥ 5
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 16499659401
discriminant (Δ): -49498978203
Faltings height: 0.7310
naive height: 32.0799
primes of bad reduction: 3, 47, 911
regulator: 265.266890625167954334744286805891542981615552080
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 21:15:02 UTC
last updated: 2026-10-20 21:15:02 UTC

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

(-22, 7)
(2, 103)
(12, 111)
(32, 208)
(122, 1351)

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