Elliptic curves

We count the simple points on the curve y2 = x3 + Ax + B over the integers modulo p, for odd primes p between and , and determine the structure of the group. The coefficients are:

                                                                  A =    B =   

For p = , we also show the addition table (if it is not too large), the number of elements of each order, the structure of the group, and a crude graph of the finite part of the curve (if it is not too large). The prime p need not be within the limits given above.