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curve #4375

y² + xy + y = x³ − 55445x + 4819980

a-invariants: [1, 0, 1, -55445, 4819980]
c-invariants: [2661337, -4168454941]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 61219522
discriminant (Δ): 852704805349124
Faltings height: 1.6271
naive height: 44.3830
primes of bad reduction: 2, 7, 13, 29, 1657
regulator: 16.33801589635236161177253403392367336443855926
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:41 UTC
last updated: 2026-10-17 10:06:41 UTC

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

(-177, 3104)
(-206, 2843)
(-73, 2948)
(-255, 1674)

Commentary

BASE torsion/torsion_Z3.tsv.gz:13 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:42 UTC · history

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