class no. # of curves class leader # Aut(E) # points
1 27648 y2 + 10xy + 11y = x3 4 40
2 27648 y2 + 10xy + 11y = x3 + 1 4 16
3 27648 y2 + 10xy + 11y = x3 + 10 4 16
4 27648 y2 + 10xy + 11y = x3 + 10x 4 16
5 27648 y2 + 10xy + 11y = x3 + 10x + 11 4 40
6 27648 y2 + 10xy + 11y = x3 + 10x + 14 4 40
7 27648 y2 + 10xy + 11y = x3 + 10x + 15 4 16
8 27648 y2 + 10xy + 11y = x3 + 10x2 4 32
9 27648 y2 + 10xy + 11y = x3 + 10x2 + 1 4 8
10 27648 y2 + 10xy + 11y = x3 + 10x2 + 10 4 8
11 27648 y2 + 10xy + 11y = x3 + 10x2 + 10x + 1 4 32
12 27648 y2 + 10xy + 11y = x3 + 10x2 + 10x + 10 4 32
13 27648 y2 + 10xy + 11y = x3 + 10x2 + 10x + 11 4 8
14 27648 y2 + 10xy + 11y = x3 + 10x2 + 10x + 14 4 8
15 27648 y2 + 10xy + 11y = x3 + 10x2 + 11x 4 64
16 27648 y2 + 10xy + 11y = x3 + 10x2 + 11x + 1 4 0
17 27648 y2 + 10xy + 11y = x3 + 10x2 + 11x + 10 4 16
18 27648 y2 + 10xy + 11y = x3 + 10x2 + 11x + 15 4 0
19 27648 y2 + 10xy + 11y = x3 + 10x2 + 12x + 15 4 32
20 27648 y2 + 10xy + 11y = x3 + 10x2 + 13x + 1 4 0
21 27648 y2 + 10xy + 11y = x3 + 10x2 + 13x + 10 4 64
22 27648 y2 + 10xy + 11y = x3 + 10x2 + 13x + 11 4 0
23 27648 y2 + 10xy + 11y = x3 + 10x2 + 13x + 14 4 16
24 27648 y2 + 10xy + 11y = x3 + 11x 4 80
25 27648 y2 + 10xy + 11y = x3 + 11x + 1 4 0
26 27648 y2 + 10xy + 11y = x3 + 11x + 10 4 32
27 27648 y2 + 10xy + 11y = x3 + 11x + 15 4 0
28 27648 y2 + 10xy + 11y = x3 + 11x2 4 48
29 27648 y2 + 10xy + 11y = x3 + 11x2 + 1 4 0
30 9216 y2 + 10xy + 11y = x3 + 11x2 + 10x 12 96
31 9216 y2 + 10xy + 11y = x3 + 11x2 + 10x + 1 12 0
32 9216 y2 + 10xy + 11y = x3 + 11x2 + 10x + 10 12 0
33 9216 y2 + 10xy + 11y = x3 + 11x2 + 10x + 11 12 0
34 9216 y2 + 10xy + 11y = x3 + 11x2 + 10x + 14 12 48
35 9216 y2 + 10xy + 11y = x3 + 11x2 + 10x + 15 12 0
36 9216 y2 + 10xy + 11y = x3 + 11x2 + 13x 12 48
37 9216 y2 + 10xy + 11y = x3 + 11x2 + 13x + 1 12 0
38 9216 y2 + 10xy + 11y = x3 + 11x2 + 13x + 10 12 0
39 9216 y2 + 10xy + 11y = x3 + 11x2 + 13x + 11 12 24
40 9216 y2 + 10xy + 11y = x3 + 11x2 + 13x + 14 12 24
41 9216 y2 + 10xy + 11y = x3 + 11x2 + 13x + 15 12 48
42 27648 y2 + 10xy + 11y = x3 + 11x2 + 15x 4 24
43 27648 y2 + 10xy + 11y = x3 + 11x2 + 15x + 1 4 24
44 9216 y2 + 10xy + 11y = x3 + 11x2 + 16x 12 96
45 9216 y2 + 10xy + 11y = x3 + 11x2 + 16x + 1 12 0
46 9216 y2 + 10xy + 11y = x3 + 11x2 + 16x + 10 12 0
47 9216 y2 + 10xy + 11y = x3 + 11x2 + 16x + 11 12 0
48 9216 y2 + 10xy + 11y = x3 + 11x2 + 16x + 14 12 48
49 9216 y2 + 10xy + 11y = x3 + 11x2 + 16x + 15 12 0
50 27648 y2 + 10xy + 11y = x3 + 11x2 + 18x 4 48
51 27648 y2 + 10xy + 11y = x3 + 11x2 + 18x + 1 4 0
52 9216 y2 + 10xy + 11y = x3 + 11x2 + 19x 12 48
53 9216 y2 + 10xy + 11y = x3 + 11x2 + 19x + 1 12 0
54 9216 y2 + 10xy + 11y = x3 + 11x2 + 19x + 10 12 0
55 9216 y2 + 10xy + 11y = x3 + 11x2 + 19x + 11 12 24
56 9216 y2 + 10xy + 11y = x3 + 11x2 + 19x + 14 12 24
57 9216 y2 + 10xy + 11y = x3 + 11x2 + 19x + 15 12 48
58 27648 y2 + 10xy + 11y = x3 + 11x2 + 21x 4 24
59 27648 y2 + 10xy + 11y = x3 + 11x2 + 21x + 1 4 24
60 27648 y2 + 10xy + 11y = x3 + 12x + 15 4 40
61 27648 y2 + 10xy + 11y = x3 + 12x2 + 13x 4 32
62 27648 y2 + 10xy + 11y = x3 + 12x2 + 13x + 11 4 0
63 27648 y2 + 10xy + 11y = x3 + 12x2 + 13x + 14 4 80
64 27648 y2 + 10xy + 11y = x3 + 12x2 + 13x + 15 4 0
65 27648 y2 + 11xy + 10y = x3 + 1 4 24
66 27648 y2 + 11xy + 10y = x3 + 10x + 11 4 60
67 27648 y2 + 11xy + 10y = x3 + 10x + 15 4 24
68 27648 y2 + 11xy + 10y = x3 + 10x + 17 4 60
69 27648 y2 + 11xy + 10y = x3 + 10x + 21 4 24
70 27648 y2 + 11xy + 10y = x3 + 10x + 23 4 60
71 27648 y2 + 11xy + 10y = x3 + 10x + 3 4 24
72 27648 y2 + 11xy + 10y = x3 + 10x + 5 4 60
73 27648 y2 + 11xy + 10y = x3 + 10x2 + 1 4 12
74 27648 y2 + 11xy + 10y = x3 + 10x2 + 10x + 1 4 48
75 27648 y2 + 11xy + 10y = x3 + 10x2 + 10x + 11 4 12
76 27648 y2 + 11xy + 10y = x3 + 10x2 + 10x + 13 4 48
77 27648 y2 + 11xy + 10y = x3 + 10x2 + 10x + 19 4 48
78 27648 y2 + 11xy + 10y = x3 + 10x2 + 10x + 23 4 12
79 27648 y2 + 11xy + 10y = x3 + 10x2 + 10x + 5 4 12
80 27648 y2 + 11xy + 10y = x3 + 10x2 + 10x + 7 4 48
81 27648 y2 + 11xy + 10y = x3 + 11x2 + 1 4 12
82 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 1 12 0
83 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 11 12 12
84 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 13 12 0
85 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 15 12 24
86 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 17 12 12
87 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 19 12 0
88 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 21 12 24
89 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 23 12 12
90 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 3 12 24
91 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 5 12 12
92 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 7 12 0
93 9216 y2 + 11xy + 10y = x3 + 11x2 + 10x + 9 12 24
94 27648 y2 + 11xy + 10y = x3 + 11x2 + 11 4 12
95 27648 y2 + 11xy + 10y = x3 + 11x2 + 12x + 13 4 12
96 27648 y2 + 11xy + 10y = x3 + 11x2 + 12x + 15 4 12
97 27648 y2 + 11xy + 10y = x3 + 13x2 + 1 4 4
98 27648 y2 + 11xy + 10y = x3 + 13x2 + 10x + 1 4 16
99 27648 y2 + 11xy + 10y = x3 + 13x2 + 10x + 11 4 4
100 27648 y2 + 11xy + 10y = x3 + 13x2 + 10x + 13 4 16
101 27648 y2 + 11xy + 10y = x3 + 13x2 + 10x + 19 4 16
102 27648 y2 + 11xy + 10y = x3 + 13x2 + 10x + 23 4 4
103 27648 y2 + 11xy + 10y = x3 + 13x2 + 10x + 5 4 4
104 27648 y2 + 11xy + 10y = x3 + 13x2 + 10x + 7 4 16
105 27648 y2 + 11xy + 10y = x3 + 14x2 + 1 4 36
106 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 1 12 0
107 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 11 12 36
108 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 13 12 0
109 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 15 12 72
110 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 17 12 36
111 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 19 12 0
112 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 21 12 72
113 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 23 12 36
114 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 3 12 72
115 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 5 12 36
116 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 7 12 0
117 9216 y2 + 11xy + 10y = x3 + 14x2 + 10x + 9 12 72
118 27648 y2 + 11xy + 10y = x3 + 14x2 + 11 4 36
119 27648 y2 + 11xy + 10y = x3 + 14x2 + 12x + 13 4 36
120 27648 y2 + 11xy + 10y = x3 + 14x2 + 12x + 15 4 36
121 27648 y2 + 11xy + 10y = x3 + 15x2 + 1 4 8
122 27648 y2 + 11xy + 10y = x3 + 15x2 + 10x + 11 4 20
123 27648 y2 + 11xy + 10y = x3 + 15x2 + 10x + 15 4 8
124 27648 y2 + 11xy + 10y = x3 + 15x2 + 10x + 17 4 20
125 27648 y2 + 11xy + 10y = x3 + 15x2 + 10x + 21 4 8
126 27648 y2 + 11xy + 10y = x3 + 15x2 + 10x + 23 4 20
127 27648 y2 + 11xy + 10y = x3 + 15x2 + 10x + 3 4 8
128 27648 y2 + 11xy + 10y = x3 + 15x2 + 10x + 5 4 20