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On the torsion group of elliptic curves induced by D(4)-triples (CROSBI ID 196129)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Dujella, Andrej ; Mikić, Miljen On the torsion group of elliptic curves induced by D(4)-triples // Analele Universităţii "Ovidius" Constanţa Seria Matematică, 22 (2014), 2; 79-90. doi: 10.2478/auom-2014-0033

Podaci o odgovornosti

Dujella, Andrej ; Mikić, Miljen

engleski

On the torsion group of elliptic curves induced by D(4)-triples

A D(4)-m-tuple is a set of m integers such that the product of any two of them increased by 4 is a perfect square. A problem of extendibility of D(4)-m-tuples is closely connected with the properties of elliptic curves associated with them. In this paper we prove that the torsion group of an elliptic curve associated with a D(4)-triple can be either Z/2Z × Z/2Z or Z/2Z × Z/6Z, except for the D(4)-triple {; ; ; ; ; −1, 3, 4}; ; ; ; ; when the torsion group is Z/2Z × Z/4Z.

D(4)-triples ; elliptic curves ; torsion group

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Podaci o izdanju

22 (2)

2014.

79-90

objavljeno

1224-1784

1844-0835

10.2478/auom-2014-0033

Povezanost rada

Matematika

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