%0 Journal Article %A Betül Gezer and Ahmet Tekcan and Osman Bizim %D 2008 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 19, 2008 %T The Number of Rational Points on Elliptic Curves and Circles over Finite Fields %U https://publications.waset.org/pdf/12784 %V 19 %X In elliptic curve theory, number of rational points on elliptic curves and determination of these points is a fairly important problem. Let p be a prime and Fp be a finite field and k ∈ Fp. It is well known that which points the curve y2 = x3 + kx has and the number of rational points of on Fp. Consider the circle family x2 + y2 = r2. It can be interesting to determine common points of these two curve families and to find the number of these common points. In this work we study this problem. %P 477 - 482