%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