Multiples of integral points on Mordell curves

Abstract

Let $B$ be a sixth-power-free integer and $P$ be a non-torsion point on the Mordell curve $E_B:y^2=x^3+B$. We study the integral multiples $[n]P$ of $P$. Among other results, we show that $P$ has at most three integral multiples with $n \gt 1$. This resul