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curve #5139

y² = x³ + 27x

a-invariants: [0, 0, 0, 27, 0]
c-invariants: [-1296, 0]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/2ℤ
family: y² = x³ + ax (quartic twists)
conductor (N): 288
discriminant (Δ): -1259712
Faltings height: -0.1400
naive height: 21.5011
primes of bad reduction: 2, 3
regulator: 1
submitted by: hdeping
submitted at: 2026-10-21 05:15:57 UTC
last updated: 2026-10-21 05:15:57 UTC

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