| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 108 | y2 + 1xy + 1y = x3 + 1x + 1 | 4 | 2 | 2 | 108 | y2 + 1xy + 1y = x3 + 1x + 3 | 4 | 5 | 3 | 108 | y2 + 1xy + 1y = x3 + 1x2 + 1x | 4 | 12 | 4 | 108 | y2 + 1xy + 1y = x3 + 1x2 + 1x + 4 | 4 | 3 | 5 | 36 | y2 + 1xy + 1y = x3 + 2x2 + 1 | 12 | 0 | 6 | 108 | y2 + 1xy + 1y = x3 + 2x2 + 2x + 1 | 4 | 3 | 7 | 36 | y2 + 1xy + 1y = x3 + 2x2 + 3 | 12 | 6 | 8 | 36 | y2 + 1xy + 1y = x3 + 2x2 + 3x + 5 | 12 | 3 | 9 | 108 | y2 + 1xy + 1y = x3 + 3x2 | 4 | 6 | 10 | 108 | y2 + 1xy + 1y = x3 + 3x2 + 1x | 4 | 15 | 11 | 108 | y2 + 1xy + 1y = x3 + 4x2 + 1 | 4 | 4 | 12 | 108 | y2 + 1xy + 1y = x3 + 4x2 + 1x + 1 | 4 | 1 | 13 | 36 | y2 + 1xy + 1y = x3 + 5x2 | 12 | 18 | 14 | 36 | y2 + 1xy + 1y = x3 + 5x2 + 2 | 12 | 9 | 15 | 108 | y2 + 1xy + 1y = x3 + 5x2 + 2x | 4 | 9 | 16 | 36 | y2 + 1xy + 1y = x3 + 5x2 + 3x + 4 | 12 | 0 | 17 | 54 | y2 + 1y = x3 + 1x | 8 | 12 | 18 | 54 | y2 + 1y = x3 + 1x + 1 | 8 | 0 | 19 | 54 | y2 + 1y = x3 + 1x2 | 8 | 20 | 20 | 54 | y2 + 1y = x3 + 1x2 + 1 | 8 | 0 | 21 | 108 | y2 + 1y = x3 + 1x2 + 1x | 4 | 10 | 22 | 108 | y2 + 1y = x3 + 1x2 + 1x + 1 | 4 | 4 | 23 | 54 | y2 + 1y = x3 + 1x2 + 2x | 8 | 8 | 24 | 54 | y2 + 1y = x3 + 1x2 + 2x + 5 | 8 | 0 | 25 | 36 | y2 + 1y = x3 + 2x | 12 | 12 | 26 | 36 | y2 + 1y = x3 + 2x + 1 | 12 | 0 | 27 | 36 | y2 + 1y = x3 + 2x + 2 | 12 | 6 | 28 | 108 | y2 + 1y = x3 + 2x2 | 4 | 8 | 29 | 108 | y2 + 1y = x3 + 2x2 + 1 | 4 | 2 | 30 | 54 | y2 + 1y = x3 + 2x2 + 1x | 8 | 16 | 31 | 54 | y2 + 1y = x3 + 2x2 + 1x + 1 | 8 | 0 | 32 | 54 | y2 + 1y = x3 + 2x2 + 1x + 3 | 8 | 0 | 33 | 54 | y2 + 1y = x3 + 2x2 + 1x + 4 | 8 | 4 | 34 | 108 | y2 + 1y = x3 + 3x2 + 1x | 4 | 6 | 35 | 18 | y2 + 1y = x3 + 3x2 + 2x | 24 | 24 | 36 | 18 | y2 + 1y = x3 + 3x2 + 2x + 1 | 24 | 0 | 37 | 18 | y2 + 1y = x3 + 3x2 + 2x + 2 | 24 | 12 | 38 | 18 | y2 + 1y = x3 + 3x2 + 2x + 3 | 24 | 0 | 39 | 18 | y2 + 1y = x3 + 3x2 + 2x + 4 | 24 | 0 | 40 | 18 | y2 + 1y = x3 + 3x2 + 2x + 5 | 24 | 0 |
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