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curve #4439

y² + y = x³ − 18967x + 1008216

a-invariants: [0, 0, 1, -18967, 1008216]
c-invariants: [910416, -871098840]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 2435328550043
discriminant (Δ): -2435328550043
Faltings height: 1.2430
naive height: 41.1705
primes of bad reduction: 457, 1499, 3555001
regulator: 11390.05312483100332743369450821046393275346198233336
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:59 UTC
last updated: 2026-10-17 10:23:59 UTC

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

(-149, 725)
(-108, 1340)
(-77, 1418)
(-231/4, 11055/8)
(-16, 1143)
(105, 417)
(159, 1418)

Commentary

BASE records/rank_7.md#38 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:00 UTC · history

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