class no. # of curves class leader # Aut(E) # points
1 1728 y2 + 10xy + 11y = x3 4 20
2 1728 y2 + 10xy + 11y = x3 + 1 4 8
3 1728 y2 + 10xy + 11y = x3 + 10 4 8
4 1728 y2 + 10xy + 11y = x3 + 10x + 11 4 20
5 1728 y2 + 10xy + 11y = x3 + 10x2 4 16
6 1728 y2 + 10xy + 11y = x3 + 10x2 + 1 4 4
7 1728 y2 + 10xy + 11y = x3 + 10x2 + 10 4 4
8 1728 y2 + 10xy + 11y = x3 + 10x2 + 10x + 1 4 16
9 1728 y2 + 10xy + 11y = x3 + 10x2 + 11x 4 32
10 1728 y2 + 10xy + 11y = x3 + 10x2 + 11x + 1 4 0
11 1728 y2 + 10xy + 11y = x3 + 10x2 + 11x + 10 4 8
12 1728 y2 + 10xy + 11y = x3 + 10x2 + 11x + 3 4 0
13 1728 y2 + 10xy + 11y = x3 + 11x 4 40
14 1728 y2 + 10xy + 11y = x3 + 11x + 1 4 0
15 1728 y2 + 10xy + 11y = x3 + 11x + 10 4 16
16 1728 y2 + 10xy + 11y = x3 + 11x + 3 4 0
17 1728 y2 + 10xy + 11y = x3 + 11x2 4 24
18 1728 y2 + 10xy + 11y = x3 + 11x2 + 1 4 0
19 576 y2 + 10xy + 11y = x3 + 11x2 + 10x 12 48
20 576 y2 + 10xy + 11y = x3 + 11x2 + 10x + 1 12 0
21 576 y2 + 10xy + 11y = x3 + 11x2 + 10x + 10 12 0
22 576 y2 + 10xy + 11y = x3 + 11x2 + 10x + 11 12 0
23 576 y2 + 10xy + 11y = x3 + 11x2 + 10x + 2 12 24
24 576 y2 + 10xy + 11y = x3 + 11x2 + 10x + 3 12 0
25 576 y2 + 10xy + 11y = x3 + 11x2 + 1x 12 24
26 576 y2 + 10xy + 11y = x3 + 11x2 + 1x + 1 12 0
27 576 y2 + 10xy + 11y = x3 + 11x2 + 1x + 10 12 0
28 576 y2 + 10xy + 11y = x3 + 11x2 + 1x + 11 12 12
29 576 y2 + 10xy + 11y = x3 + 11x2 + 1x + 2 12 12
30 576 y2 + 10xy + 11y = x3 + 11x2 + 1x + 3 12 24
31 1728 y2 + 10xy + 11y = x3 + 11x2 + 3x 4 12
32 1728 y2 + 10xy + 11y = x3 + 11x2 + 3x + 1 4 12
33 1728 y2 + 11xy + 10y = x3 + 1 4 12
34 1728 y2 + 11xy + 10y = x3 + 10x + 11 4 30
35 1728 y2 + 11xy + 10y = x3 + 10x + 3 4 12
36 1728 y2 + 11xy + 10y = x3 + 10x + 5 4 30
37 1728 y2 + 11xy + 10y = x3 + 10x2 + 1 4 6
38 1728 y2 + 11xy + 10y = x3 + 10x2 + 10x + 1 4 24
39 1728 y2 + 11xy + 10y = x3 + 10x2 + 10x + 11 4 6
40 1728 y2 + 11xy + 10y = x3 + 10x2 + 10x + 7 4 24
41 1728 y2 + 11xy + 10y = x3 + 11x2 + 1 4 6
42 576 y2 + 11xy + 10y = x3 + 11x2 + 10x + 1 12 0
43 576 y2 + 11xy + 10y = x3 + 11x2 + 10x + 11 12 6
44 576 y2 + 11xy + 10y = x3 + 11x2 + 10x + 3 12 12
45 576 y2 + 11xy + 10y = x3 + 11x2 + 10x + 5 12 6
46 576 y2 + 11xy + 10y = x3 + 11x2 + 10x + 7 12 0
47 576 y2 + 11xy + 10y = x3 + 11x2 + 10x + 9 12 12
48 1728 y2 + 11xy + 10y = x3 + 11x2 + 11 4 6
49 1728 y2 + 11xy + 10y = x3 + 1x2 + 1 4 2
50 1728 y2 + 11xy + 10y = x3 + 1x2 + 10x + 1 4 8
51 1728 y2 + 11xy + 10y = x3 + 1x2 + 10x + 11 4 2
52 1728 y2 + 11xy + 10y = x3 + 1x2 + 10x + 7 4 8
53 1728 y2 + 11xy + 10y = x3 + 2x2 + 1 4 18
54 576 y2 + 11xy + 10y = x3 + 2x2 + 10x + 1 12 0
55 576 y2 + 11xy + 10y = x3 + 2x2 + 10x + 11 12 18
56 576 y2 + 11xy + 10y = x3 + 2x2 + 10x + 3 12 36
57 576 y2 + 11xy + 10y = x3 + 2x2 + 10x + 5 12 18
58 576 y2 + 11xy + 10y = x3 + 2x2 + 10x + 7 12 0
59 576 y2 + 11xy + 10y = x3 + 2x2 + 10x + 9 12 36
60 1728 y2 + 11xy + 10y = x3 + 2x2 + 11 4 18
61 1728 y2 + 11xy + 10y = x3 + 3x2 + 1 4 4
62 1728 y2 + 11xy + 10y = x3 + 3x2 + 10x + 11 4 10
63 1728 y2 + 11xy + 10y = x3 + 3x2 + 10x + 3 4 4
64 1728 y2 + 11xy + 10y = x3 + 3x2 + 10x + 5 4 10