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