Excellence in Research and Innovation for Humanity
%0 Journal Article
%A Ahmet Tekcan
%D 2010 
%J  International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
%B World Academy of Science, Engineering and Technology
%I International Science Index 43, 2010
%T Positive Definite Quadratic Forms, Elliptic Curves and Cubic Congruences
%U http://waset.org/publications/9336
%V 43
%X Let F(x, y) = ax2 + bxy + cy2 be a positive definite
binary quadratic form with discriminant Δ whose base points lie on
the line x = -1/m for an integer m ≥ 2, let p be a prime number
and let Fp be a finite field. Let EF : y2 = ax3 + bx2 + cx be an
elliptic curve over Fp and let CF : ax3 + bx2 + cx ≡ 0(mod p) be
the cubic congruence corresponding to F. In this work we consider
some properties of positive definite quadratic forms, elliptic curves
and cubic congruences.
%P 831 - 835