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curve #4339

y² + xy + y = x³ − 322510015x + 1851150388822

a-invariants: [1, 0, 1, -322510015, 1851150388822]
c-invariants: [15480480697, -1599417156663469]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/3ℤ
conductor (N): 35925459131078
discriminant (Δ): 666486649620772123638741004
Faltings height: 3.8661
naive height: 70.3885
primes of bad reduction: 2, 11, 37, 43, 47, 137, 337
regulator: 3077.6366537397351625623083852790806886659782438338
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:05:26 UTC
last updated: 2026-10-17 10:05:26 UTC

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

(455, 1305338)
(53990, 11881661)
(7883/4, 8840051/8)
(29501, 4229302)
(-20131, 440726)
(41126/25, 143786236/125)

Commentary

BASE torsion/torsion_Z3.tsv.gz:496 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:05:26 UTC · history

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