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curve #4460

y² + y = x³ − x² + 28x + 30

a-invariants: [0, -1, 1, 28, 30]
c-invariants: [-1328, -34136]
rank (lower bound): ≥ 4
torsion subgroup: trivial
conductor (N): 2029691
discriminant (Δ): -2029691
Faltings height: -0.1022
naive height: 21.5743
primes of bad reduction: 197, 10303
regulator: 9.685387961108041669551217126609456353411196876
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:56 UTC
last updated: 2026-10-17 10:24:56 UTC

Witness: 4 independent points log in to add more points →

(-1, 0)
(0, 5)
(2, 9)
(20, 90)

Commentary

BASE records/rank_4.md#11 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:56 UTC · history

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