Elliptic Curves Containing Sequences of Consecutive Cubes

Gamze Savaş Çelik, Gökhan Soydan

Let $E$ be an elliptic curve over $\mathbb{Q}$ described by $y^2=x^3+Kx+L$ where $K,L\in \mathbb{Q}$. A set of rational points $(x_i,y_i)\in E(\mathbb{Q})$ for $i=1, 2, \cdot…