class no. # of curves class leader # Aut(E) # points
1 64 y2 + 1xy + 1y = x3 + 1 2 2
2 64 y2 + 1xy + 1y = x3 + 1x + 3 2 2
3 64 y2 + 1xy + 1y = x3 + 1x2 2 6
4 64 y2 + 1xy + 1y = x3 + 1x2 + 1x + 2 2 6
5 64 y2 + 1y = x3 2 4
6 64 y2 + 1y = x3 + 1 2 4
7 64 y2 + 1y = x3 + 1x 2 8
8 64 y2 + 1y = x3 + 1x + 1 2 0