class no. # of curves class leader # Aut(E) # points
1 1 y2 = x3 + 1 6 11
2 3 y2 = x3 + 1x 2 7
3 3 y2 = x3 + 1x + 1 2 4
4 3 y2 = x3 + 1x + 3 2 5
5 3 y2 = x3 + 1x + 4 2 9
6 3 y2 = x3 + 1x + 6 2 10
7 1 y2 = x3 + 2 6 8
8 1 y2 = x3 + 3 6 12
9 3 y2 = x3 + 3x 2 7
10 3 y2 = x3 + 3x + 1 2 11
11 3 y2 = x3 + 3x + 2 2 8
12 3 y2 = x3 + 3x + 3 2 5
13 3 y2 = x3 + 3x + 4 2 9
14 3 y2 = x3 + 3x + 5 2 6
15 3 y2 = x3 + 3x + 6 2 3
16 1 y2 = x3 + 4 6 2
17 1 y2 = x3 + 5 6 6
18 1 y2 = x3 + 6 6 3