| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 2187 | y2 + 1xy + 1y = x3 | 2 | 6 | 2 | 2187 | y2 + 1xy + 1y = x3 + 1x | 2 | 15 | 3 | 2187 | y2 + 1xy + 1y = x3 + 1x + 3 | 2 | 15 | 4 | 2187 | y2 + 1xy + 1y = x3 + 1x + 4 | 2 | 6 | 5 | 2187 | y2 + 1xy + 1y = x3 + 1x + 6 | 2 | 15 | 6 | 2187 | y2 + 1xy + 1y = x3 + 1x + 7 | 2 | 6 | 7 | 2187 | y2 + 1xy + 1y = x3 + 1x2 + 1 | 2 | 12 | 8 | 2187 | y2 + 1xy + 1y = x3 + 1x2 + 1x | 2 | 12 | 9 | 2187 | y2 + 1xy + 1y = x3 + 1x2 + 1x + 1 | 2 | 3 | 10 | 2187 | y2 + 1xy + 1y = x3 + 1x2 + 1x + 3 | 2 | 12 | 11 | 2187 | y2 + 1xy + 1y = x3 + 1x2 + 1x + 4 | 2 | 3 | 12 | 2187 | y2 + 1xy + 1y = x3 + 1x2 + 1x + 7 | 2 | 3 | 13 | 2187 | y2 + 1xy + 1y = x3 + 2x2 | 2 | 18 | 14 | 2187 | y2 + 1xy + 1y = x3 + 2x2 + 1 | 2 | 0 | 15 | 2187 | y2 + 1xy + 1y = x3 + 2x2 + 2 | 2 | 9 | 16 | 2187 | y2 + 1xy + 1y = x3 + 2x2 + 2x | 2 | 9 | 17 | 2187 | y2 + 1xy + 1y = x3 + 2x2 + 2x + 1 | 2 | 9 | 18 | 2187 | y2 + 1xy + 1y = x3 + 2x2 + 2x + 2 | 2 | 9 |
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