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curve #4535

y² + xy + y = x³ + x² − 91119784x + 5960985623465

a-invariants: [1, 1, 1, -91119784, 5960985623465]
c-invariants: [4373749633, -5150324381796161]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/4ℤ
conductor (N): 110761108878
discriminant (Δ): -15302183322481877601945059328
Faltings height: 4.0875
naive height: 72.3557
primes of bad reduction: 2, 3, 7, 23, 29, 71, 233, 239
regulator: 295.371872937769346053331103514498037081359664862
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:34:22 UTC
last updated: 2026-10-17 10:34:22 UTC

Witness: 5 independent points log in to add more points →

(87845, -26040915)
(1843949/25, 2496976233/125)
(20525, -3579291)
(-16091, -1797843)
(17189, 3069357)

Commentary

BASE torsion/torsion_Z4.tsv.gz:2320 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:34:23 UTC · history

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