On the torsion group of elliptic curves induced by D(4)-triples (CROSBI ID 196129)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
22 (2)
2014.
79-90
objavljeno
1224-1784
1844-0835
10.2478/auom-2014-0033