@article{(Open Science Index):https://publications.waset.org/pdf/6891,
	  title     = {The Number of Rational Points on Elliptic Curves y2 = x3 + a3 on Finite Fields},
	  author    = {Musa Demirci and  Nazlı Yıldız İkikardeş and  Gökhan Soydan and  İsmail Naci Cangül},
	  country	= {},
	  institution	= {},
	  abstract     = {In this work, we consider the rational points on elliptic
curves over finite fields Fp. We give results concerning the number
of points Np,a on the elliptic curve y2 ≡ x3 +a3(mod p) according
to whether a and x are quadratic residues or non-residues. We use
two lemmas to prove the main results first of which gives the list of
primes for which -1 is a quadratic residue, and the second is a result
from [1]. We get the results in the case where p is a prime congruent
to 5 modulo 6, while when p is a prime congruent to 1 modulo 6,
there seems to be no regularity for Np,a.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {1},
	  number    = {1},
	  year      = {2007},
	  pages     = {130 - 132},
	  ee        = {https://publications.waset.org/pdf/6891},
	  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},
	}