Consider the elliptic curve y 2 ? x 3 + 4x + 4 (mod 11). (a) find all points on the elliptic curve; (b) add the points (1, 8) and (2, 3); (c) double the point (1, 3); (d) find the order of the point (1, 8). Be sure to check that the given points and your answers all lie on the curve.