WASET
	%0 Journal Article
	%A Nazli Yildiz İkikardes and  Gokhan Soydan and  Musa Demirci and  Ismail Naci Cangul
	%D 2007
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 1, 2007
	%T Classification of the Bachet Elliptic Curves y2 = x3 + a3 in Fp, where p ≡ 1 (mod 6) is Prime
	%U https://publications.waset.org/pdf/11483
	%V 1
	%X In this work, we first give in what fields Fp, the cubic
root of unity lies in F*p, in Qp and in K*p where Qp and K*p denote
the sets of quadratic and non-zero cubic residues modulo p. Then we
use these to obtain some results on the classification of the Bachet
elliptic curves y2 ≡ x3 +a3 modulo p, for p ≡ 1 (mod 6) is prime.
	%P 123 - 125