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curve #472

y² + xy + y = x³ + x² − 8613625056x + 344966450788353

a-invariants: [1, 1, 1, -8613625056, 344966450788353]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 2898928264388660009655990
discriminant (Δ): -10508499001278316988602577510400
Faltings height: 4.6823
naive height: 80.4721
primes of bad reduction: 2, 3, 5, 59, 173, 30918229, 306198803711
regulator: 2281583.850725307167203340584232265723834310900849605615134
submitted by: Warricker-hash
submitted at: 2026-08-31 17:24:54 UTC
last updated: 2026-08-31 17:27:03 UTC

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