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curve #1820

y² + xy + y = x³ − x² − 444480329354x + 114058399173775049

a-invariants: [1, -1, 1, -444480329354, 114058399173775049]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/9ℤ
conductor (N): 53655966
discriminant (Δ): 2163173238579148091283382746624
Faltings height: 5.2033
naive height: 92.0741
primes of bad reduction: 2, 3, 7, 13, 61, 179
regulator: 7.507067597940747783446164647102768854919
submitted by: hdeping
submitted at: 2026-09-25 15:22:07 UTC
last updated: 2026-09-25 15:22:07 UTC

Witness: 1 independent point log in to add more points →

(401163, 17380111)

Commentary

Specialization t=-1/13 of the Kubert X_1(9) universal family.

last edited by hdeping at 2026-09-27 08:53:51 UTC · history

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