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curve #1817

y² + xy = x³ + 28227882648x − 557768951216064

a-invariants: [1, 0, 0, 28227882648, -557768951216064]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/9ℤ
conductor (N): 28540974
discriminant (Δ): -1573909668276163650663852461170176
Faltings height: 5.0589
naive height: 83.8043
primes of bad reduction: 2, 3, 7, 11, 163, 379
regulator: 3.355700673395972230063142008999783673886
submitted by: hdeping
submitted at: 2026-09-25 15:21:37 UTC
last updated: 2026-09-25 15:21:37 UTC

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

(23520, 10904376)

Commentary

Specialization t=-3/11 of the Kubert X_1(9) universal family.

last edited by hdeping at 2026-09-27 08:52:47 UTC · history

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