class no. # of curves class leader # Aut(E) # points
1 4 y2 + 1xy + 1y = x3 + 1 2 1
2 4 y2 + 1xy + 1y = x3 + 1x2 2 3
3 4 y2 + 1y = x3 2 2
4 2 y2 + 1y = x3 + 1x 4 4
5 2 y2 + 1y = x3 + 1x + 1 4 0