class no. # of curves class leader # Aut(E) # points
1 20577 y2 + 10xy + 10y = x3 6 26
2 20577 y2 + 10xy + 10y = x3 + 1 6 27
3 61731 y2 + 10xy + 10y = x3 + 10x 2 25
4 61731 y2 + 10xy + 10y = x3 + 10x + 1 2 19
5 61731 y2 + 10xy + 10y = x3 + 10x + 10 2 26
6 61731 y2 + 10xy + 10y = x3 + 10x + 11 2 17
7 61731 y2 + 10xy + 10y = x3 + 10x + 12 2 23
8 61731 y2 + 10xy + 10y = x3 + 10x + 13 2 15
9 61731 y2 + 10xy + 10y = x3 + 10x + 14 2 21
10 61731 y2 + 10xy + 10y = x3 + 10x + 15 2 12
11 61731 y2 + 10xy + 10y = x3 + 10x + 16 2 16
12 61731 y2 + 10xy + 10y = x3 + 10x + 17 2 23
13 61731 y2 + 10xy + 10y = x3 + 10x + 18 2 23
14 61731 y2 + 10xy + 10y = x3 + 10x + 2 2 14
15 61731 y2 + 10xy + 10y = x3 + 10x + 3 2 19
16 61731 y2 + 10xy + 10y = x3 + 10x + 4 2 24
17 61731 y2 + 10xy + 10y = x3 + 10x + 5 2 19
18 61731 y2 + 10xy + 10y = x3 + 10x + 6 2 13
19 61731 y2 + 10xy + 10y = x3 + 10x + 7 2 15
20 61731 y2 + 10xy + 10y = x3 + 10x + 8 2 15
21 61731 y2 + 10xy + 10y = x3 + 10x + 9 2 22
22 61731 y2 + 10xy + 10y = x3 + 10x2 2 27
23 61731 y2 + 10xy + 10y = x3 + 10x2 + 1 2 14
24 61731 y2 + 10xy + 10y = x3 + 10x2 + 10 2 15
25 20577 y2 + 10xy + 10y = x3 + 10x2 + 10x 6 11
26 20577 y2 + 10xy + 10y = x3 + 10x2 + 10x + 14 6 12
27 20577 y2 + 10xy + 10y = x3 + 10x2 + 10x + 16 6 20
28 20577 y2 + 10xy + 10y = x3 + 10x2 + 10x + 3 6 18
29 61731 y2 + 10xy + 10y = x3 + 10x2 + 11 2 18
30 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x 2 23
31 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 1 2 25
32 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 11 2 19
33 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 12 2 20
34 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 13 2 11
35 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 15 2 18
36 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 17 2 17
37 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 18 2 17
38 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 2 2 13
39 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 4 2 21
40 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 5 2 21
41 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 6 2 24
42 61731 y2 + 10xy + 10y = x3 + 10x2 + 11x + 7 2 20