class no. # of curves class leader # Aut(E) # points
1 1024 y2 + 1xy + 1y = x3 + 1 2 4
2 1024 y2 + 1xy + 1y = x3 + 1x + 1 2 4
3 1024 y2 + 1xy + 1y = x3 + 1x + 3 2 4
4 1024 y2 + 1xy + 1y = x3 + 1x + 7 2 4
5 1024 y2 + 1xy + 1y = x3 + 1x2 2 12
6 1024 y2 + 1xy + 1y = x3 + 1x2 + 1x 2 12
7 1024 y2 + 1xy + 1y = x3 + 1x2 + 1x + 2 2 12
8 1024 y2 + 1xy + 1y = x3 + 1x2 + 1x + 6 2 12
9 1024 y2 + 1y = x3 2 8
10 1024 y2 + 1y = x3 + 1 2 8
11 1024 y2 + 1y = x3 + 1x 2 16
12 1024 y2 + 1y = x3 + 1x + 1 2 0
13 1024 y2 + 1y = x3 + 1x2 + 1x 2 8
14 1024 y2 + 1y = x3 + 1x2 + 1x + 1 2 8
15 1024 y2 + 1y = x3 + 1x2 + 2x 2 16
16 1024 y2 + 1y = x3 + 1x2 + 2x + 1 2 0