class no. # of curves class leader # Aut(E) # points
1 6750 y2 + 10xy + 10y = x3 + 10x + 1 4 10
2 6750 y2 + 10xy + 10y = x3 + 10x + 12 4 25
3 6750 y2 + 10xy + 10y = x3 + 10x + 13 4 10
4 6750 y2 + 10xy + 10y = x3 + 10x + 6 4 25
5 6750 y2 + 10xy + 10y = x3 + 10x2 + 1 4 20
6 6750 y2 + 10xy + 10y = x3 + 10x2 + 10x + 1 4 5
7 6750 y2 + 10xy + 10y = x3 + 10x2 + 10x + 12 4 20
8 6750 y2 + 10xy + 10y = x3 + 10x2 + 10x + 13 4 5
9 3375 y2 + 10xy + 10y = x3 + 10x2 + 11x 8 12
10 6750 y2 + 10xy + 10y = x3 + 10x2 + 11x + 1 4 8
11 3375 y2 + 10xy + 10y = x3 + 10x2 + 11x + 10 8 3
12 6750 y2 + 10xy + 10y = x3 + 10x2 + 11x + 12 4 12
13 6750 y2 + 10xy + 10y = x3 + 10x2 + 11x + 13 4 3
14 6750 y2 + 10xy + 10y = x3 + 10x2 + 11x + 6 4 32
15 6750 y2 + 10xy + 10y = x3 + 10x2 + 12x + 1 4 24
16 3375 y2 + 10xy + 10y = x3 + 10x2 + 12x + 10 8 4
17 6750 y2 + 10xy + 10y = x3 + 10x2 + 12x + 11 4 6
18 3375 y2 + 10xy + 10y = x3 + 10x2 + 12x + 5 8 1
19 3375 y2 + 10xy + 10y = x3 + 10x2 + 13x 8 36
20 3375 y2 + 10xy + 10y = x3 + 10x2 + 13x + 10 8 9
21 6750 y2 + 10xy + 10y = x3 + 10x2 + 13x + 12 4 16
22 6750 y2 + 10xy + 10y = x3 + 10x2 + 13x + 13 4 4
23 3375 y2 + 10xy + 10y = x3 + 10x2 + 14x 8 28
24 6750 y2 + 10xy + 10y = x3 + 10x2 + 14x + 1 4 7
25 3375 y2 + 10xy + 10y = x3 + 10x2 + 14x + 10 8 7
26 6750 y2 + 10xy + 10y = x3 + 10x2 + 14x + 12 4 8
27 6750 y2 + 10xy + 10y = x3 + 10x2 + 14x + 13 4 2
28 6750 y2 + 10xy + 10y = x3 + 10x2 + 14x + 6 4 28
29 3375 y2 + 10xy + 10y = x3 + 11x 8 15
30 6750 y2 + 10xy + 10y = x3 + 11x + 1 4 16
31 3375 y2 + 10xy + 10y = x3 + 11x + 10 8 6
32 6750 y2 + 10xy + 10y = x3 + 11x + 12 4 15
33 6750 y2 + 10xy + 10y = x3 + 11x + 13 4 6
34 6750 y2 + 10xy + 10y = x3 + 11x + 6 4 40
35 2250 y2 + 10xy + 10y = x3 + 11x2 + 1 12 0
36 2250 y2 + 10xy + 10y = x3 + 11x2 + 11 12 12
37 6750 y2 + 10xy + 10y = x3 + 11x2 + 11x 4 21
38 3375 y2 + 10xy + 10y = x3 + 11x2 + 11x + 1 8 21
39 6750 y2 + 10xy + 10y = x3 + 11x2 + 11x + 13 4 6
40 2250 y2 + 10xy + 10y = x3 + 11x2 + 12 12 24
41 2250 y2 + 10xy + 10y = x3 + 11x2 + 12x 12 30
42 2250 y2 + 10xy + 10y = x3 + 11x2 + 12x + 1 12 0
43 2250 y2 + 10xy + 10y = x3 + 11x2 + 12x + 11 12 15
44 2250 y2 + 10xy + 10y = x3 + 11x2 + 12x + 12 12 30
45 2250 y2 + 10xy + 10y = x3 + 11x2 + 12x + 14 12 15
46 2250 y2 + 10xy + 10y = x3 + 11x2 + 12x + 4 12 0
47 1125 y2 + 10xy + 10y = x3 + 11x2 + 14 24 27
48 6750 y2 + 10xy + 10y = x3 + 11x2 + 14x + 1 4 18
49 3375 y2 + 10xy + 10y = x3 + 11x2 + 14x + 12 8 3
50 6750 y2 + 10xy + 10y = x3 + 11x2 + 2x 4 15
51 6750 y2 + 10xy + 10y = x3 + 11x2 + 2x + 12 4 15
52 1125 y2 + 10xy + 10y = x3 + 11x2 + 3x 24 18
53 2250 y2 + 10xy + 10y = x3 + 11x2 + 3x + 1 12 0
54 1125 y2 + 10xy + 10y = x3 + 11x2 + 3x + 10 24 0
55 2250 y2 + 10xy + 10y = x3 + 11x2 + 3x + 11 12 24
56 2250 y2 + 10xy + 10y = x3 + 11x2 + 3x + 12 12 18
57 2250 y2 + 10xy + 10y = x3 + 11x2 + 3x + 13 12 0
58 2250 y2 + 10xy + 10y = x3 + 11x2 + 3x + 2 12 9
59 1125 y2 + 10xy + 10y = x3 + 11x2 + 3x + 5 24 9
60 2250 y2 + 10xy + 10y = x3 + 11x2 + 3x + 6 12 48
61 1125 y2 + 10xy + 10y = x3 + 11x2 + 4 24 0
62 6750 y2 + 10xy + 10y = x3 + 11x2 + 5x + 1 4 12
63 3375 y2 + 10xy + 10y = x3 + 11x2 + 5x + 14 8 27
64 2250 y2 + 10xy + 10y = x3 + 11x2 + 6x 12 42
65 1125 y2 + 10xy + 10y = x3 + 11x2 + 6x + 1 24 0
66 2250 y2 + 10xy + 10y = x3 + 11x2 + 6x + 10 12 0
67 1125 y2 + 10xy + 10y = x3 + 11x2 + 6x + 11 24 21
68 2250 y2 + 10xy + 10y = x3 + 11x2 + 6x + 13 12 0
69 2250 y2 + 10xy + 10y = x3 + 11x2 + 6x + 14 12 6
70 2250 y2 + 10xy + 10y = x3 + 11x2 + 6x + 2 12 21
71 2250 y2 + 10xy + 10y = x3 + 11x2 + 6x + 3 12 12
72 1125 y2 + 10xy + 10y = x3 + 11x2 + 6x + 6 24 42
73 3375 y2 + 10xy + 10y = x3 + 11x2 + 8x 8 9
74 6750 y2 + 10xy + 10y = x3 + 11x2 + 8x + 1 4 24
75 6750 y2 + 10xy + 10y = x3 + 11x2 + 8x + 12 4 9
76 1125 y2 + 10xy + 10y = x3 + 11x2 + 9 24 54
77 2250 y2 + 10xy + 10y = x3 + 11x2 + 9x + 1 12 0
78 2250 y2 + 10xy + 10y = x3 + 11x2 + 9x + 11 12 18
79 1125 y2 + 10xy + 10y = x3 + 11x2 + 9x + 12 24 6
80 1125 y2 + 10xy + 10y = x3 + 11x2 + 9x + 2 24 3
81 2250 y2 + 10xy + 10y = x3 + 11x2 + 9x + 3 12 36
82 1125 y2 + 10xy + 10y = x3 + 11x2 + 9x + 7 24 0
83 3375 y2 + 10xy + 10y = x3 + 12x 8 2
84 6750 y2 + 10xy + 10y = x3 + 12x + 11 4 30
85 3375 y2 + 10xy + 10y = x3 + 12x + 5 8 5
86 6750 y2 + 10xy + 10y = x3 + 12x + 6 4 12
87 3375 y2 + 10xy + 10y = x3 + 12x2 + 11x + 1 8 18
88 6750 y2 + 10xy + 10y = x3 + 12x2 + 11x + 13 4 8
89 6750 y2 + 10xy + 10y = x3 + 12x2 + 11x + 3 4 20
90 3375 y2 + 10xy + 10y = x3 + 12x2 + 11x + 6 8 45
91 3375 y2 + 10xy + 10y = x3 + 12x2 + 12x 8 14
92 6750 y2 + 10xy + 10y = x3 + 12x2 + 12x + 11 4 35
93 6750 y2 + 10xy + 10y = x3 + 12x2 + 12x + 12 4 4
94 6750 y2 + 10xy + 10y = x3 + 12x2 + 12x + 2 4 10
95 3375 y2 + 10xy + 10y = x3 + 12x2 + 12x + 5 8 35
96 6750 y2 + 10xy + 10y = x3 + 12x2 + 12x + 6 4 14