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curve #4413

y² + y = x³ − 12510607x + 22378666386

a-invariants: [0, 0, 1, -12510607, 22378666386]
c-invariants: [600509136, -19335167757720]
rank (lower bound): ≥ 11
torsion subgroup: trivial
conductor (N): 91029154289442938382923
discriminant (Δ): -91029154289442938382923
Faltings height: 3.1134
naive height: 61.1859
primes of bad reduction: 317, 8646667, 33210278067157
regulator: 11598904.2004394728715694789898245899641570911328836376117682
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:22:50 UTC
last updated: 2026-10-17 10:22:50 UTC

Witness: 11 independent points log in to add more points →

(972, 105530)
(929, 107508)
(-2287, 197556)
(2153, -73644)
(199, -141057)
(3246, 126375)
(3339, 133536)
(-2814, -187885)
(-3893, -109920)
(2817, 97419)
(6692, -488206)

Commentary

BASE records/rank_11.md#11 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:22:51 UTC · history

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