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