My instructor asked us to find the polar form of the elliptic curve defined by the equation $$y^2=x^3+ax+b$$
What I did:
Using $x=r\cos\theta$ and $y=r\sin\theta$, I got
That's all I got so far. I want to derive an equation of $r$ in terms of $\theta$, so I'm not sure how to advance from this.
Any help will be greatly appreciated.