I know how to find a parametrization of a cubic genus $0$ curve. But I don't know it for quartics and i couldn't find it anywhere. Can you give me an example of a parametrization of a quartic? What are the techniques? Where can I find these techniques?
If you have not, I can give you : $y^2=\frac{t^2(t^2+24)}{3}$
Thanks for any help.
Edit: I want to find a rational parametrization.