Here you can plot the points of an elliptic curve under modular arithmetic (i.e. over \( \mathbb{F}_p\)).

Enter curve parameters and press 'Draw!' to get the plot and a tabulation of the point additions on this curve.

**Note:** Since it depends on multiplicative inverses, EC Point addition will only work for *prime moduli* like 2,3,5,7,11,13,17,19,23,29,31,...,109,... ;-)

Draw the elliptic curve *\( y^2 = x^3+ax+b \mod r \)*, where