Volume no :1, Issue no: 1, March (2008)

Journal of Algebra, Number Theory: Advances and Applications

THE ELLIPTIC CURVES OVER FINITE FIELDS

Author's: Ahmet Tekcan
Pages: [61] - [74]
Received Date: April 13, 2009; Revised April 30, 2009
Submitted by:

Abstract

Let be a prime number and let be a finite field. In the first section, we give some preliminaries on elliptic curves. In the second section, we consider the number of rational points on elliptic curves over for and also we determine the group structure of torsion points In the third section, we consider the rank of E and its 2-isogenous curve over

Keywords

elliptic curves over finite fields, rational points on elliptic curves, torsion points, rank of elliptic curves.