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curve #1814

y² + xy + y = x³ − x² + 7958928568x − 311336659716469

a-invariants: [1, -1, 1, 7958928568, -311336659716469]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/12ℤ
conductor (N): 434070
discriminant (Δ): -74139348383382234980873664000000
Faltings height: 4.8011
naive height: 80.2669
primes of bad reduction: 2, 3, 5, 7, 13, 53
regulator: 5.586289425329679633758748872622922722879
submitted by: hdeping
submitted at: 2026-09-25 15:14:34 UTC
last updated: 2026-09-25 15:14:34 UTC

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

(54309, 16738441)

Commentary

Specialization t=-5/9 of the HHVZ 2021 (Thm 5) universal family for torsion Z/12Z.

last edited by hdeping at 2026-09-27 08:52:31 UTC · history

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