Generators for the elliptic curve $E_{(p,q)}:y^2=x^3-p^{2}x+q^2$

M. Khazali, H. Daghigh, A. Alidadi

Let $\{E_{(p,q)}\}$ be a family of elliptic curves over a rational field such that we have $E_{(p,q)}:y^2=x^3-p^{2}x+q^2$, where $p$ and $q$ are prime numbers greater than fi…