@article{(Open Science Index):https://publications.waset.org/pdf/14639, title = {Rational Points on Elliptic Curves 2 3 3y = x + a inF , where p 5(mod 6) is Prime}, author = {Gokhan Soydan and Musa Demirci and Nazli Yildiz Ikikardes and Ismail Naci Cangul}, country = {}, institution = {}, abstract = {In this work, we consider the rational points on elliptic curves over finite fields Fp where p ≡ 5 (mod 6). We obtain results on the number of points on an elliptic curve y2 ≡ x3 + a3(mod p), where p ≡ 5 (mod 6) is prime. We give some results concerning the sum of the abscissae of these points. A similar case where p ≡ 1 (mod 6) is considered in [5]. The main difference between two cases is that when p ≡ 5 (mod 6), all elements of Fp are cubic residues. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {1}, number = {1}, year = {2007}, pages = {109 - 112}, ee = {https://publications.waset.org/pdf/14639}, 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}, }