JP Journal of Algebra, Number Theory and Applications
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Abstract: Frey elliptic curves are the curves and
in this work the group structureof these curves over finite fieldsis considered.
This group structure and the number of points on these elliptic
curves depend on the existence of elements of order 4. Therefore the cases where
the group of the curves has such elements are determined. It is also shown that
the number of such elements, if any, is either 4 or 12. Classification is made
according to n is a quadratic residue
or not.
Keywords and phrases: Elliptic curves over finite fields, rational points.
