Suppose Elliptic curve E is defined by y 2 = x 3 x 6 over Z1039. Since Z1039 is small, you can program to slove all the following problems. • How many points are over E. • What is the lexically largest point over E. Here lexically larger point means to order the points by the first coordination first and then the 1 second coordination, E.g., (320,100) > (319,500) and (320,100) < (320,101).