class no. # of curves class leader # Aut(E) # points
1 156250 y2 + 10xy + 10y = x3 + 1 2 25
2 156250 y2 + 10xy + 10y = x3 + 10x + 1 2 25
3 156250 y2 + 10xy + 10y = x3 + 10x + 12 2 25
4 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x 2 15
5 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 1 2 40
6 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 10 2 15
7 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 11 2 40
8 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 12 2 15
9 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 13 2 15
10 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 16 2 40
11 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 17 2 15
12 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 18 2 15
13 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 19 2 40
14 78125 y2 + 10xy + 10y = x3 + 10x2 + 11x + 20 4 15
15 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 6 2 40
16 156250 y2 + 10xy + 10y = x3 + 10x2 + 11x + 7 2 15
17 156250 y2 + 10xy + 10y = x3 + 10x2 + 12 2 25
18 156250 y2 + 10xy + 10y = x3 + 10x2 + 12x 2 5
19 156250 y2 + 10xy + 10y = x3 + 10x2 + 12x + 1 2 30
20 156250 y2 + 10xy + 10y = x3 + 10x2 + 12x + 10 2 5
21 156250 y2 + 10xy + 10y = x3 + 10x2 + 12x + 11 2 30
22 156250 y2 + 10xy + 10y = x3 + 10x2 + 12x + 14 2 30
23 78125 y2 + 10xy + 10y = x3 + 10x2 + 12x + 15 4 5
24 156250 y2 + 10xy + 10y = x3 + 10x2 + 12x + 21 2 30
25 156250 y2 + 10xy + 10y = x3 + 10x2 + 12x + 24 2 30
26 156250 y2 + 10xy + 10y = x3 + 10x2 + 13x 2 45
27 78125 y2 + 10xy + 10y = x3 + 10x2 + 13x + 10 4 45
28 156250 y2 + 10xy + 10y = x3 + 10x2 + 13x + 12 2 20
29 156250 y2 + 10xy + 10y = x3 + 10x2 + 13x + 13 2 20
30 156250 y2 + 10xy + 10y = x3 + 10x2 + 13x + 15 2 45
31 156250 y2 + 10xy + 10y = x3 + 10x2 + 13x + 17 2 20
32 156250 y2 + 10xy + 10y = x3 + 10x2 + 13x + 18 2 20
33 156250 y2 + 10xy + 10y = x3 + 10x2 + 13x + 22 2 20
34 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x 2 35
35 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 1 2 35
36 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 11 2 35
37 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 12 2 10
38 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 13 2 10
39 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 14 2 35
40 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 15 2 35
41 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 16 2 35
42 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 17 2 10
43 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 2 2 10
44 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 3 2 10
45 156250 y2 + 10xy + 10y = x3 + 10x2 + 14x + 4 2 35
46 78125 y2 + 10xy + 10y = x3 + 10x2 + 14x + 5 4 35
47 156250 y2 + 10xy + 10y = x3 + 10x2 + 15x + 1 2 25
48 156250 y2 + 10xy + 10y = x3 + 10x2 + 15x + 12 2 25
49 156250 y2 + 10xy + 10y = x3 + 10x2 + 20x + 1 2 25
50 156250 y2 + 10xy + 10y = x3 + 10x2 + 20x + 12 2 25
51 156250 y2 + 10xy + 10y = x3 + 10x2 + 5x + 1 2 25
52 156250 y2 + 10xy + 10y = x3 + 10x2 + 5x + 12 2 25