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curve #4452

y² + y = x³ − 97x + 606

a-invariants: [0, 0, 1, -97, 606]
c-invariants: [4656, -523800]
rank (lower bound): ≥ 5
torsion subgroup: trivial
conductor (N): 100365803
discriminant (Δ): -100365803
Faltings height: 0.2311
naive height: 26.3377
primes of bad reduction: 97, 10667
regulator: 24.8000384915975768379669450910989856953119106426
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:33 UTC
last updated: 2026-10-17 10:24:33 UTC

Witness: 5 independent points log in to add more points →

(-3, 29)
(-1, 26)
(3, 18)
(6, 15)
(9, 21)

Commentary

BASE records/rank_5.md#17 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:33 UTC · history

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