class no.	# of curves	class leader	# Aut(E)	# points
1	1029	y2 + 1xy + 1y = x3	2	8
2	1029	y2 + 1xy + 1y = x3 + 1	2	5
3	1029	y2 + 1xy + 1y = x3 + 1x	2	3
4	1029	y2 + 1xy + 1y = x3 + 1x + 1	2	7
5	1029	y2 + 1xy + 1y = x3 + 1x + 2	2	11
6	1029	y2 + 1xy + 1y = x3 + 1x + 5	2	9
7	1029	y2 + 1xy + 1y = x3 + 1x + 6	2	6
8	1029	y2 + 1xy + 1y = x3 + 1x2	2	7
9	1029	y2 + 1xy + 1y = x3 + 1x2 + 1	2	4
10	1029	y2 + 1xy + 1y = x3 + 1x2 + 1x	2	10
11	1029	y2 + 1xy + 1y = x3 + 1x2 + 1x + 4	2	5
12	1029	y2 + 1xy + 1y = x3 + 1x2 + 1x + 5	2	9
13	343	y2 + 1xy + 1y = x3 + 1x2 + 6x	6	11
14	343	y2 + 1xy + 1y = x3 + 1x2 + 6x + 1	6	8
15	343	y2 + 1xy + 1y = x3 + 1x2 + 6x + 2	6	12
16	343	y2 + 1xy + 1y = x3 + 1x2 + 6x + 3	6	2
17	343	y2 + 1xy + 1y = x3 + 1x2 + 6x + 4	6	6
18	343	y2 + 1xy + 1y = x3 + 1x2 + 6x + 5	6	3