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curve #4371

y² + y = x³ − 199044x + 34183215

a-invariants: [0, 0, 1, -199044, 34183215]
c-invariants: [9554112, -29534297976]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 145461771
discriminant (Δ): -95673261483891
Faltings height: 1.7121
naive height: 48.2176
primes of bad reduction: 3, 7, 13, 73, 811
regulator: 502.1817083543951181399037279738533514882471318
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:35 UTC
last updated: 2026-10-17 10:06:35 UTC

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

(267, 269)
(345, 2564)
(-513, 1134)
(4161/16, 5697/64)

Commentary

BASE torsion/torsion_Z3.tsv.gz:45 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:35 UTC · history

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