class no. # of curves class leader # Aut(E) # points
1 2187 y2 + 1xy + 1y = x3 2 6
2 2187 y2 + 1xy + 1y = x3 + 1x 2 15
3 2187 y2 + 1xy + 1y = x3 + 1x + 3 2 15
4 2187 y2 + 1xy + 1y = x3 + 1x + 4 2 6
5 2187 y2 + 1xy + 1y = x3 + 1x + 6 2 15
6 2187 y2 + 1xy + 1y = x3 + 1x + 7 2 6
7 2187 y2 + 1xy + 1y = x3 + 1x2 + 1 2 12
8 2187 y2 + 1xy + 1y = x3 + 1x2 + 1x 2 12
9 2187 y2 + 1xy + 1y = x3 + 1x2 + 1x + 1 2 3
10 2187 y2 + 1xy + 1y = x3 + 1x2 + 1x + 3 2 12
11 2187 y2 + 1xy + 1y = x3 + 1x2 + 1x + 4 2 3
12 2187 y2 + 1xy + 1y = x3 + 1x2 + 1x + 7 2 3
13 2187 y2 + 1xy + 1y = x3 + 2x2 2 18
14 2187 y2 + 1xy + 1y = x3 + 2x2 + 1 2 0
15 2187 y2 + 1xy + 1y = x3 + 2x2 + 2 2 9
16 2187 y2 + 1xy + 1y = x3 + 2x2 + 2x 2 9
17 2187 y2 + 1xy + 1y = x3 + 2x2 + 2x + 1 2 9
18 2187 y2 + 1xy + 1y = x3 + 2x2 + 2x + 2 2 9