class no. # of curves class leader # Aut(E) # points
1 108 y2 + 1xy + 1y = x3 + 1x + 1 4 2
2 108 y2 + 1xy + 1y = x3 + 1x + 3 4 5
3 108 y2 + 1xy + 1y = x3 + 1x2 + 1x 4 12
4 108 y2 + 1xy + 1y = x3 + 1x2 + 1x + 4 4 3
5 36 y2 + 1xy + 1y = x3 + 2x2 + 1 12 0
6 108 y2 + 1xy + 1y = x3 + 2x2 + 2x + 1 4 3
7 36 y2 + 1xy + 1y = x3 + 2x2 + 3 12 6
8 36 y2 + 1xy + 1y = x3 + 2x2 + 3x + 5 12 3
9 108 y2 + 1xy + 1y = x3 + 3x2 4 6
10 108 y2 + 1xy + 1y = x3 + 3x2 + 1x 4 15
11 108 y2 + 1xy + 1y = x3 + 4x2 + 1 4 4
12 108 y2 + 1xy + 1y = x3 + 4x2 + 1x + 1 4 1
13 36 y2 + 1xy + 1y = x3 + 5x2 12 18
14 36 y2 + 1xy + 1y = x3 + 5x2 + 2 12 9
15 108 y2 + 1xy + 1y = x3 + 5x2 + 2x 4 9
16 36 y2 + 1xy + 1y = x3 + 5x2 + 3x + 4 12 0
17 54 y2 + 1y = x3 + 1x 8 12
18 54 y2 + 1y = x3 + 1x + 1 8 0
19 54 y2 + 1y = x3 + 1x2 8 20
20 54 y2 + 1y = x3 + 1x2 + 1 8 0
21 108 y2 + 1y = x3 + 1x2 + 1x 4 10
22 108 y2 + 1y = x3 + 1x2 + 1x + 1 4 4
23 54 y2 + 1y = x3 + 1x2 + 2x 8 8
24 54 y2 + 1y = x3 + 1x2 + 2x + 5 8 0
25 36 y2 + 1y = x3 + 2x 12 12
26 36 y2 + 1y = x3 + 2x + 1 12 0
27 36 y2 + 1y = x3 + 2x + 2 12 6
28 108 y2 + 1y = x3 + 2x2 4 8
29 108 y2 + 1y = x3 + 2x2 + 1 4 2
30 54 y2 + 1y = x3 + 2x2 + 1x 8 16
31 54 y2 + 1y = x3 + 2x2 + 1x + 1 8 0
32 54 y2 + 1y = x3 + 2x2 + 1x + 3 8 0
33 54 y2 + 1y = x3 + 2x2 + 1x + 4 8 4
34 108 y2 + 1y = x3 + 3x2 + 1x 4 6
35 18 y2 + 1y = x3 + 3x2 + 2x 24 24
36 18 y2 + 1y = x3 + 3x2 + 2x + 1 24 0
37 18 y2 + 1y = x3 + 3x2 + 2x + 2 24 12
38 18 y2 + 1y = x3 + 3x2 + 2x + 3 24 0
39 18 y2 + 1y = x3 + 3x2 + 2x + 4 24 0
40 18 y2 + 1y = x3 + 3x2 + 2x + 5 24 0