On the torsion group of elliptic curves induced by D(4)-triples
نویسندگان
چکیده
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.
منابع مشابه
High Rank Elliptic Curves with Torsion Z/2z× Z/4z Induced by Diophantine Triples
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