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curve #4355

y² = x³ − x² − 6098211649x + 183292093405729

a-invariants: [0, -1, 0, -6098211649, 183292093405729]
c-invariants: [292714159168, -158362612417594880]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/4ℤ
conductor (N): 386713207104
discriminant (Δ): 864777106139294052498898944
Faltings height: 4.2597
naive height: 79.2074
primes of bad reduction: 2, 3, 7, 17, 29, 31, 67, 281
regulator: 292.799339942804457981662100850466567277311821643
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:01 UTC
last updated: 2026-10-17 10:06:01 UTC

Witness: 5 independent points log in to add more points →

(44811, 69020)
(197485/4, 12791871/8)
(-147875/9, 451031896/27)
(45525, 143752)
(47653, 950040)

Commentary

BASE torsion/torsion_Z4.tsv.gz:2340 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:01 UTC · history

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