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