What are Elliptic curves General form y=x+ ax+ b Condition for distinct single roots 4a3+27b2≠0 Example: x x(x-2)(x+2) 2 1818 -3 -2 -1 0 1 2 3 -4 -3 -2 -1 0 1 2 3 4 y 2 = x 3 + ax + b 4a 3 + 27b 2  0 General form: Condition for distinct single roots: Example: y 2 = x 3 − 4x = x(x −2)(x +2) What are Elliptic Curves?