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curve #4358

y² + xy + y = x³ + x² − 1399689438x + 20153445168906

a-invariants: [1, 1, 1, -1399689438, 20153445168906]
c-invariants: [67185093025, -17413080514132625]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/4ℤ
conductor (N): 110291320275
discriminant (Δ): 27295869328388558664140625
Faltings height: 3.9205
naive height: 74.7922
primes of bad reduction: 3, 5, 29, 31, 43, 109, 349
regulator: 975.175500044142999954350795683448481542852394934
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:10 UTC
last updated: 2026-10-17 10:06:10 UTC

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

(1434955/36, 1132390627/216)
(13664, 1885113)
(-6114, 5339970)
(12670225/576, 1138981813/13824)
(7175, 3233712)

Commentary

BASE torsion/torsion_Z4.tsv.gz:2319 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

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

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