class no. # of curves class leader # Aut(E) # points
1 6655 y2 + 10xy + 10y = x3 2 5
2 6655 y2 + 10xy + 10y = x3 + 1 2 11
3 6655 y2 + 10xy + 10y = x3 + 10 2 10
4 6655 y2 + 10xy + 10y = x3 + 10x 2 11
5 6655 y2 + 10xy + 10y = x3 + 10x + 1 2 15
6 6655 y2 + 10xy + 10y = x3 + 10x + 10 2 7
7 6655 y2 + 10xy + 10y = x3 + 10x + 2 2 8
8 6655 y2 + 10xy + 10y = x3 + 10x + 4 2 16
9 6655 y2 + 10xy + 10y = x3 + 10x + 5 2 9
10 6655 y2 + 10xy + 10y = x3 + 10x + 6 2 13
11 6655 y2 + 10xy + 10y = x3 + 10x + 7 2 6
12 6655 y2 + 10xy + 10y = x3 + 10x + 9 2 14
13 6655 y2 + 10xy + 10y = x3 + 10x2 + 1 2 13
14 6655 y2 + 10xy + 10y = x3 + 10x2 + 10 2 9
15 6655 y2 + 10xy + 10y = x3 + 10x2 + 10x 2 11
16 6655 y2 + 10xy + 10y = x3 + 10x2 + 10x + 1 2 11
17 6655 y2 + 10xy + 10y = x3 + 10x2 + 2 2 15
18 6655 y2 + 10xy + 10y = x3 + 10x2 + 2x 2 14
19 6655 y2 + 10xy + 10y = x3 + 10x2 + 2x + 10 2 8
20 6655 y2 + 10xy + 10y = x3 + 10x2 + 2x + 6 2 17
21 6655 y2 + 10xy + 10y = x3 + 10x2 + 2x + 7 2 12
22 6655 y2 + 10xy + 10y = x3 + 10x2 + 2x + 8 2 7