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Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization (CROSBI ID 181384)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Dujella, Andrej ; Najman, Filip Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization // Periodica mathematica Hungarica, 65 (2012), 2; 193-203. doi: 10.1007/s10998-012-8257-7

Podaci o odgovornosti

Dujella, Andrej ; Najman, Filip

engleski

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

In this paper, we present several methods for construction of elliptic curves with large torsion group and positive rank over number elds of small degree. We also discuss potential applications of such curves in the elliptic curve factorization method (ECM).

Torsion group ; rank ; elliptic curves ; number fields

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Podaci o izdanju

65 (2)

2012.

193-203

objavljeno

0031-5303

1588-2829

10.1007/s10998-012-8257-7

Povezanost rada

Matematika

Poveznice
Indeksiranost