Generators for the elliptic curve $y2 = x3−nx$ II

Let E be an elliptic curve defined by $y2 = x3−nx$ with n a positive integer. In our previous work, we gave several infinite families of n for which certain two points of infinite order can be in a system of generators for the Mordell‐Weil group $E(Q).$ In this paper, we extend this result and give those examples of infinite families of n for which the generators for rank three part of $E(Q)$ can be explicitly described.