class no. # of curves class leader # Aut(E) # points
1 500 y2 + 1xy + 1y = x3 + 1 8 3
2 1000 y2 + 1xy + 1y = x3 + 1x + 3 4 6
3 500 y2 + 1xy + 1y = x3 + 1x + 9 8 1
4 1000 y2 + 1xy + 1y = x3 + 1x2 + 1x 4 21
5 1000 y2 + 1xy + 1y = x3 + 1x2 + 1x + 4 4 6
6 500 y2 + 1xy + 1y = x3 + 1x2 + 1x + 6 8 21
7 1000 y2 + 1xy + 1y = x3 + 1x2 + 2x 4 15
8 1000 y2 + 1xy + 1y = x3 + 1x2 + 2x + 4 4 15
9 1000 y2 + 1xy + 1y = x3 + 1x2 + 3x 4 24
10 1000 y2 + 1xy + 1y = x3 + 1x2 + 3x + 4 4 9
11 500 y2 + 1xy + 1y = x3 + 1x2 + 3x + 6 8 9
12 1000 y2 + 1xy + 1y = x3 + 1x2 + 4 4 12
13 1000 y2 + 1xy + 1y = x3 + 1x2 + 4x 4 18
14 500 y2 + 1xy + 1y = x3 + 1x2 + 4x + 6 8 3
15 500 y2 + 1xy + 1y = x3 + 1x2 + 5x + 6 8 27
16 1000 y2 + 1xy + 1y = x3 + 2x + 5 4 4
17 500 y2 + 1xy + 1y = x3 + 2x + 7 8 9
18 1000 y2 + 1xy + 1y = x3 + 2x2 + 3 4 3
19 1000 y2 + 1xy + 1y = x3 + 2x2 + 3x + 1 4 7
20 1000 y2 + 1xy + 1y = x3 + 2x2 + 3x + 5 4 2
21 500 y2 + 1xy + 1y = x3 + 2x2 + 3x + 7 8 7
22 1000 y2 + 1xy + 1y = x3 + 2x2 + 4x + 1 4 5
23 1000 y2 + 1xy + 1y = x3 + 2x2 + 4x + 3 4 5
24 1000 y2 + 1xy + 1y = x3 + 2x2 + 5 4 8
25 1000 y2 + 1y = x3 4 10
26 500 y2 + 1y = x3 + 1x 8 32
27 250 y2 + 1y = x3 + 1x + 1 16 0
28 500 y2 + 1y = x3 + 1x + 3 8 0
29 500 y2 + 1y = x3 + 1x + 4 8 12
30 500 y2 + 1y = x3 + 1x + 5 8 0
31 250 y2 + 1y = x3 + 1x + 6 16 12
32 250 y2 + 1y = x3 + 1x2 16 36
33 1000 y2 + 1y = x3 + 1x2 + 1x 4 4
34 1000 y2 + 1y = x3 + 1x2 + 1x + 1 4 14
35 500 y2 + 1y = x3 + 1x2 + 1x + 2 8 14
36 500 y2 + 1y = x3 + 1x2 + 2 8 16
37 500 y2 + 1y = x3 + 1x2 + 2x 8 20
38 500 y2 + 1y = x3 + 1x2 + 2x + 1 8 0
39 500 y2 + 1y = x3 + 1x2 + 2x + 2 8 20
40 500 y2 + 1y = x3 + 1x2 + 2x + 3 8 0
41 500 y2 + 1y = x3 + 1x2 + 3 8 0
42 1000 y2 + 1y = x3 + 1x2 + 3x 4 16
43 500 y2 + 1y = x3 + 1x2 + 3x + 1 8 6
44 1000 y2 + 1y = x3 + 1x2 + 3x + 3 4 6
45 500 y2 + 1y = x3 + 1x2 + 4x + 2 8 24
46 250 y2 + 1y = x3 + 1x2 + 4x + 3 16 0
47 500 y2 + 1y = x3 + 1x2 + 4x + 7 8 0
48 250 y2 + 1y = x3 + 1x2 + 4x + 8 16 4
49 250 y2 + 1y = x3 + 1x2 + 5 16 0
50 500 y2 + 1y = x3 + 1x2 + 5x 8 18
51 1000 y2 + 1y = x3 + 1x2 + 5x + 2 4 8
52 500 y2 + 1y = x3 + 1x2 + 6x 8 8
53 500 y2 + 1y = x3 + 1x2 + 6x + 1 8 0
54 250 y2 + 1y = x3 + 1x2 + 6x + 2 16 28
55 500 y2 + 1y = x3 + 1x2 + 6x + 5 8 0
56 500 y2 + 1y = x3 + 1x2 + 6x + 6 8 28
57 250 y2 + 1y = x3 + 1x2 + 6x + 7 16 0
58 1000 y2 + 1y = x3 + 1x2 + 7x + 1 4 10
59 1000 y2 + 1y = x3 + 1x2 + 9x + 2 4 12
60 500 y2 + 1y = x3 + 1x2 + 9x + 3 8 2