| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 27 | y2 + 1xy + 1y = x3 | 2 | 2 | 2 | 27 | y2 + 1xy + 1y = x3 + 1x | 2 | 5 | 3 | 27 | y2 + 1xy + 1y = x3 + 1x2 + 1 | 2 | 4 | 4 | 27 | y2 + 1xy + 1y = x3 + 1x2 + 1x + 1 | 2 | 1 | 5 | 9 | y2 + 1xy + 1y = x3 + 2x2 | 6 | 6 | 6 | 9 | y2 + 1xy + 1y = x3 + 2x2 + 1 | 6 | 0 | 7 | 9 | y2 + 1xy + 1y = x3 + 2x2 + 2 | 6 | 3 | 8 | 27 | y2 + 1xy + 1y = x3 + 2x2 + 2x | 2 | 3 |
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