The Number of Rational Points on Singular Curvesy 2 = x(x - a)2 over Finite Fields Fp Year: 2009 Volume: 3 Issue: 11 889 - 892 Pages Authors: Ahmet Tekcan Abstract: Let p ≥ 5 be a prime number and let Fp be a finite field. In this work, we determine the number of rational points on singular curves Ea : y2 = x(x - a)2 over Fp for some specific values of a. Keywords: Singular curve elliptic curve rational points.