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curve #4347

y² = x³ − x² − 2369462961x + 43825830348465

a-invariants: [0, -1, 0, -2369462961, 43825830348465]
c-invariants: [113734222144, -37864835015740928]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 73617919193280
discriminant (Δ): 21678392105393215223988633600
Faltings height: 4.2403
naive height: 76.3714
primes of bad reduction: 2, 3, 5, 7, 11, 23, 31, 47, 113, 263
regulator: 977.86167660744032667055107296128550749426572315220
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:05:45 UTC
last updated: 2026-10-17 10:05:45 UTC

Witness: 6 independent points log in to add more points →

(944, 6449023)
(25403, 163060)
(36873, 2566800)
(32241, 972048)
(922233, 884437440)
(216529/9, -23299696/27)

Commentary

BASE torsion/torsion_Z2xZ2.tsv.gz:80 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:05:45 UTC · history

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