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curve #4444

y² + xy = x³ − x² − 4594x + 152824

a-invariants: [1, -1, 0, -4594, 152824]
c-invariants: [220521, -131047605]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 1866217095994
discriminant (Δ): -3732434191988
Faltings height: 1.1236
naive height: 37.3821
primes of bad reduction: 2, 163, 11597, 493627
regulator: 907.8360160052354096339991720918883463756645357280310
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:13 UTC
last updated: 2026-10-17 10:24:13 UTC

Witness: 7 independent points log in to add more points →

(-78, 218)
(-57, 505)
(2, 378)
(20, 252)
(38, 160)
(54, 218)
(70, 378)

Commentary

BASE records/rank_7.md#30 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:13 UTC · history

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