class no. # of curves class leader # Aut(E) # points
1 13182 y2 + 10xy + 10y = x3 2 11
2 13182 y2 + 10xy + 10y = x3 + 1 2 15
3 13182 y2 + 10xy + 10y = x3 + 10 2 14
4 13182 y2 + 10xy + 10y = x3 + 10x 2 14
5 13182 y2 + 10xy + 10y = x3 + 10x + 1 2 9
6 13182 y2 + 10xy + 10y = x3 + 10x + 10 2 18
7 13182 y2 + 10xy + 10y = x3 + 10x + 12 2 15
8 13182 y2 + 10xy + 10y = x3 + 10x + 2 2 13
9 6591 y2 + 10xy + 10y = x3 + 10x + 9 4 7
10 13182 y2 + 10xy + 10y = x3 + 10x2 + 10x 2 12
11 13182 y2 + 10xy + 10y = x3 + 10x2 + 10x + 1 2 11
12 6591 y2 + 10xy + 10y = x3 + 10x2 + 10x + 10 4 17
13 13182 y2 + 10xy + 10y = x3 + 10x2 + 10x + 11 2 15
14 13182 y2 + 10xy + 10y = x3 + 10x2 + 10x + 12 2 9
15 13182 y2 + 10xy + 10y = x3 + 10x2 + 10x + 2 2 19
16 13182 y2 + 10xy + 10y = x3 + 10x2 + 10x + 3 2 10
17 13182 y2 + 10xy + 10y = x3 + 10x2 + 12x + 1 2 11
18 13182 y2 + 10xy + 10y = x3 + 10x2 + 12x + 10 2 12
19 13182 y2 + 10xy + 10y = x3 + 10x2 + 12x + 11 2 8
20 13182 y2 + 10xy + 10y = x3 + 10x2 + 12x + 12 2 13
21 13182 y2 + 10xy + 10y = x3 + 10x2 + 12x + 2 2 17
22 6591 y2 + 10xy + 10y = x3 + 10x2 + 12x + 3 4 19
23 4394 y2 + 10xy + 10y = x3 + 10x2 + 3x 6 18
24 4394 y2 + 10xy + 10y = x3 + 10x2 + 3x + 1 6 11
25 4394 y2 + 10xy + 10y = x3 + 10x2 + 3x + 10 6 15
26 4394 y2 + 10xy + 10y = x3 + 10x2 + 3x + 11 6 20
27 4394 y2 + 10xy + 10y = x3 + 10x2 + 3x + 12 6 8
28 4394 y2 + 10xy + 10y = x3 + 10x2 + 3x + 8 6 6
29 13182 y2 + 10xy + 10y = x3 + 10x2 + 5x + 11 2 17
30 13182 y2 + 10xy + 10y = x3 + 10x2 + 5x + 12 2 16
31 13182 y2 + 10xy + 10y = x3 + 10x2 + 5x + 7 2 7
32 6591 y2 + 10xy + 10y = x3 + 10x2 + 5x + 8 4 9