class no. # of curves class leader # Aut(E) # points
1 2 y2 = x3 + 1 6 11
2 2 y2 = x3 + 10 6 8
3 3 y2 = x3 + 10x 4 7
4 6 y2 = x3 + 10x + 1 2 18
5 6 y2 = x3 + 10x + 10 2 15
6 6 y2 = x3 + 10x + 4 2 14
7 6 y2 = x3 + 10x + 5 2 9
8 6 y2 = x3 + 10x + 6 2 13
9 2 y2 = x3 + 11 6 18
10 3 y2 = x3 + 11x 4 17
11 6 y2 = x3 + 11x + 1 2 15
12 6 y2 = x3 + 11x + 10 2 12
13 6 y2 = x3 + 11x + 11 2 9
14 6 y2 = x3 + 11x + 4 2 11
15 6 y2 = x3 + 11x + 5 2 19
16 6 y2 = x3 + 11x + 6 2 10
17 3 y2 = x3 + 1x 4 19
18 6 y2 = x3 + 1x + 1 2 17
19 6 y2 = x3 + 1x + 11 2 11
20 6 y2 = x3 + 1x + 4 2 13
21 6 y2 = x3 + 1x + 5 2 8
22 6 y2 = x3 + 1x + 6 2 12
23 3 y2 = x3 + 2x 4 9
24 6 y2 = x3 + 2x + 1 2 7
25 6 y2 = x3 + 2x + 10 2 17
26 6 y2 = x3 + 2x + 11 2 14
27 6 y2 = x3 + 2x + 4 2 16
28 6 y2 = x3 + 2x + 5 2 11
29 6 y2 = x3 + 2x + 6 2 15
30 2 y2 = x3 + 4 6 20
31 2 y2 = x3 + 5 6 15
32 2 y2 = x3 + 6 6 6