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curve #4499

y² + xy + y = x³ − 103x + 462

a-invariants: [1, 0, 1, -103, 462]
c-invariants: [4921, -406765]
rank (lower bound): ≥ 4
torsion subgroup: trivial
conductor (N): 787882
discriminant (Δ): -26787988
Faltings height: 0.1454
naive height: 25.8320
primes of bad reduction: 2, 17, 23173
regulator: 1.747374812935868443679736847796063710815698371
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:31:40 UTC
last updated: 2026-10-17 10:31:40 UTC

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

(-11, 22)
(6, 5)
(9, 12)
(23, 90)

Commentary

BASE records/rank_4.md#9 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:31:40 UTC · history

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