class no. # of curves class leader # Aut(E) # points
1 3 y2 = x3 + 1 6 11
2 3 y2 = x3 + 10 6 18
3 9 y2 = x3 + 10x 2 19
4 9 y2 = x3 + 10x + 1 2 24
5 9 y2 = x3 + 10x + 10 2 15
6 9 y2 = x3 + 10x + 11 2 21
7 9 y2 = x3 + 10x + 12 2 12
8 9 y2 = x3 + 10x + 13 2 16
9 9 y2 = x3 + 10x + 14 2 23
10 9 y2 = x3 + 10x + 15 2 23
11 9 y2 = x3 + 10x + 16 2 25
12 9 y2 = x3 + 10x + 17 2 19
13 9 y2 = x3 + 10x + 18 2 14
14 9 y2 = x3 + 10x + 2 2 19
15 9 y2 = x3 + 10x + 3 2 13
16 9 y2 = x3 + 10x + 4 2 15
17 9 y2 = x3 + 10x + 5 2 15
18 9 y2 = x3 + 10x + 6 2 22
19 9 y2 = x3 + 10x + 7 2 26
20 9 y2 = x3 + 10x + 8 2 17
21 9 y2 = x3 + 10x + 9 2 23
22 9 y2 = x3 + 11x 2 19
23 9 y2 = x3 + 11x + 1 2 20
24 9 y2 = x3 + 11x + 10 2 13
25 9 y2 = x3 + 11x + 11 2 15
26 9 y2 = x3 + 11x + 12 2 21
27 9 y2 = x3 + 11x + 13 2 21
28 9 y2 = x3 + 11x + 14 2 24
29 9 y2 = x3 + 11x + 15 2 20
30 9 y2 = x3 + 11x + 17 2 27
31 9 y2 = x3 + 11x + 18 2 18
32 9 y2 = x3 + 11x + 2 2 11
33 9 y2 = x3 + 11x + 4 2 18
34 9 y2 = x3 + 11x + 5 2 14
35 9 y2 = x3 + 11x + 6 2 17
36 9 y2 = x3 + 11x + 7 2 17
37 9 y2 = x3 + 11x + 8 2 23
38 9 y2 = x3 + 11x + 9 2 25
39 3 y2 = x3 + 12 6 27
40 3 y2 = x3 + 14 6 12
41 3 y2 = x3 + 16 6 26
42 3 y2 = x3 + 4 6 20