class no. # of curves class leader # Aut(E) # points
1 2 y2 = x3 + 1 2 5
2 1 y2 = x3 + 1x 4 3
3 2 y2 = x3 + 1x + 1 2 8
4 2 y2 = x3 + 1x + 2 2 3
5 2 y2 = x3 + 2 2 5
6 1 y2 = x3 + 2x 4 1
7 2 y2 = x3 + 2x + 1 2 6
8 1 y2 = x3 + 3x 4 9
9 2 y2 = x3 + 3x + 2 2 4
10 1 y2 = x3 + 4x 4 7
11 2 y2 = x3 + 4x + 1 2 7
12 2 y2 = x3 + 4x + 2 2 2