@article{(Open Science Index):https://publications.waset.org/pdf/9336, title = {Positive Definite Quadratic Forms, Elliptic Curves and Cubic Congruences}, author = {Ahmet Tekcan}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {4}, number = {7}, year = {2010}, pages = {831 - 835}, ee = {https://publications.waset.org/pdf/9336}, url = {https://publications.waset.org/vol/43}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 43, 2010}, }