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