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curve #1811

y² + xy = x³ + 79316545x + 1678407056025

a-invariants: [1, 0, 0, 79316545, 1678407056025]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/12ℤ
conductor (N): 1272810
discriminant (Δ): -1248891445995039000000000000
Faltings height: 3.8796
naive height: 69.8209
primes of bad reduction: 2, 3, 5, 7, 11, 19, 29
regulator: 4.545708835129226167811594323104690258071
submitted by: hdeping
submitted at: 2026-09-25 15:14:06 UTC
last updated: 2026-09-25 15:14:06 UTC

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

(-4214, 1128757)

Commentary

Specialization t=-3/7 of the HHVZ 2021 (Thm 5) universal family for torsion Z/12Z.

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

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