Help with getting the formula for rational point $(x,y)$ on the $y^2 = x^3$

Question

How to find formula for rational point $(x,y)$ on the $y^2 = x^3$ in term of rational parameter $t$. And also how would I write in form of $(x,y) =(f(t),g(t))$

Answer 1

HINT: You can parametrise in several ways.

How about $$x=c_1t^2$$ and $$y=c_2t^3$$ where $c_1^3=c_2^2$ ?