Elliptic curve is an equation with two variables and coefficients and it is a cubic equation like the following form:
\(y^{2}+axy+by=x^{3}+cx^{2}+dx+e\)
\(y^{2}=x^{3}\)
Let’s plot \(y^{2}=x^{3}+ax+b\) with set of points E(a,b) = E(1,1)
Addition Over Elliptic curve First we have element called O (zero point or point of infinity) and we have a rule in geometric tearm “If 3 points on an elliptic curve lie on a straight line, their sum is O.