@article{(Open Science Index):https://publications.waset.org/pdf/11483, title = {Classification of the Bachet Elliptic Curves y2 = x3 + a3 in Fp, where p ≡ 1 (mod 6) is Prime}, author = {Nazli Yildiz İkikardes and Gokhan Soydan and Musa Demirci and Ismail Naci Cangul}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {1}, number = {1}, year = {2007}, pages = {123 - 125}, ee = {https://publications.waset.org/pdf/11483}, url = {https://publications.waset.org/vol/1}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 1, 2007}, }