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curve #4372

y² + xy = x³ − 1398797x + 636649489

a-invariants: [1, 0, 0, -1398797, 636649489]
c-invariants: [67142257, -550165871881]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 60340438
discriminant (Δ): 207733301817344
Faltings height: 2.0620
naive height: 54.0670
primes of bad reduction: 2, 41, 43, 109, 157
regulator: 38.09079002373009665625241681000995111542183221
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:37 UTC
last updated: 2026-10-17 10:06:37 UTC

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

(34, 24255)
(-1278, 19007)
(770, 3647)
(-950, 33767)

Commentary

BASE torsion/torsion_Z3.tsv.gz:12 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:37 UTC · history

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