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curve #4537

y² = x³ + x² − 46419030x + 18319679928

a-invariants: [0, 1, 0, -46419030, 18319679928]
c-invariants: [2228113456, -15841572138496]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 158807231520
discriminant (Δ): 6256070955744567044673600
Faltings height: 3.4480
naive height: 64.5733
primes of bad reduction: 2, 3, 5, 7, 23, 31, 151, 439
regulator: 428.552690709723199466263413773507050068453293200
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:34:27 UTC
last updated: 2026-10-17 10:34:27 UTC

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

(-2322, 337032)
(35126, 6459780)
(-6228, 256680)
(-1674, 302220)
(-443511/64, 43603515/512)

Commentary

BASE torsion/torsion_Z2xZ2.tsv.gz:20 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:34:27 UTC · history

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