List all of the points $(x, y)$ on the parametric curve $$x=t^3+4t,\;\;y=6t^2$$ where the tangent line is parallel to the line with parametric equations $$x=-7t,\;\;y=12t-5.$$ In entering your answer, list the points starting with the smallest value of $x$. If two or more points share the same value of $x$, list those points starting with the smallest value of $y$. If any blanks are unused, type an upper-case "N" in them.

Point 1: $(x, y) =$ (,)

Point 2: $(x, y) =$ (,)

Point 3: $(x, y) =$ (,)