| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 500 | y2 + 1xy + 1y = x3 + 1 | 8 | 3 | 2 | 1000 | y2 + 1xy + 1y = x3 + 1x + 3 | 4 | 6 | 3 | 500 | y2 + 1xy + 1y = x3 + 1x + 9 | 8 | 1 | 4 | 1000 | y2 + 1xy + 1y = x3 + 1x2 + 1x | 4 | 21 | 5 | 1000 | y2 + 1xy + 1y = x3 + 1x2 + 1x + 4 | 4 | 6 | 6 | 500 | y2 + 1xy + 1y = x3 + 1x2 + 1x + 6 | 8 | 21 | 7 | 1000 | y2 + 1xy + 1y = x3 + 1x2 + 2x | 4 | 15 | 8 | 1000 | y2 + 1xy + 1y = x3 + 1x2 + 2x + 4 | 4 | 15 | 9 | 1000 | y2 + 1xy + 1y = x3 + 1x2 + 3x | 4 | 24 | 10 | 1000 | y2 + 1xy + 1y = x3 + 1x2 + 3x + 4 | 4 | 9 | 11 | 500 | y2 + 1xy + 1y = x3 + 1x2 + 3x + 6 | 8 | 9 | 12 | 1000 | y2 + 1xy + 1y = x3 + 1x2 + 4 | 4 | 12 | 13 | 1000 | y2 + 1xy + 1y = x3 + 1x2 + 4x | 4 | 18 | 14 | 500 | y2 + 1xy + 1y = x3 + 1x2 + 4x + 6 | 8 | 3 | 15 | 500 | y2 + 1xy + 1y = x3 + 1x2 + 5x + 6 | 8 | 27 | 16 | 1000 | y2 + 1xy + 1y = x3 + 2x + 5 | 4 | 4 | 17 | 500 | y2 + 1xy + 1y = x3 + 2x + 7 | 8 | 9 | 18 | 1000 | y2 + 1xy + 1y = x3 + 2x2 + 3 | 4 | 3 | 19 | 1000 | y2 + 1xy + 1y = x3 + 2x2 + 3x + 1 | 4 | 7 | 20 | 1000 | y2 + 1xy + 1y = x3 + 2x2 + 3x + 5 | 4 | 2 | 21 | 500 | y2 + 1xy + 1y = x3 + 2x2 + 3x + 7 | 8 | 7 | 22 | 1000 | y2 + 1xy + 1y = x3 + 2x2 + 4x + 1 | 4 | 5 | 23 | 1000 | y2 + 1xy + 1y = x3 + 2x2 + 4x + 3 | 4 | 5 | 24 | 1000 | y2 + 1xy + 1y = x3 + 2x2 + 5 | 4 | 8 | 25 | 1000 | y2 + 1y = x3 | 4 | 10 | 26 | 500 | y2 + 1y = x3 + 1x | 8 | 32 | 27 | 250 | y2 + 1y = x3 + 1x + 1 | 16 | 0 | 28 | 500 | y2 + 1y = x3 + 1x + 3 | 8 | 0 | 29 | 500 | y2 + 1y = x3 + 1x + 4 | 8 | 12 | 30 | 500 | y2 + 1y = x3 + 1x + 5 | 8 | 0 | 31 | 250 | y2 + 1y = x3 + 1x + 6 | 16 | 12 | 32 | 250 | y2 + 1y = x3 + 1x2 | 16 | 36 | 33 | 1000 | y2 + 1y = x3 + 1x2 + 1x | 4 | 4 | 34 | 1000 | y2 + 1y = x3 + 1x2 + 1x + 1 | 4 | 14 | 35 | 500 | y2 + 1y = x3 + 1x2 + 1x + 2 | 8 | 14 | 36 | 500 | y2 + 1y = x3 + 1x2 + 2 | 8 | 16 | 37 | 500 | y2 + 1y = x3 + 1x2 + 2x | 8 | 20 | 38 | 500 | y2 + 1y = x3 + 1x2 + 2x + 1 | 8 | 0 | 39 | 500 | y2 + 1y = x3 + 1x2 + 2x + 2 | 8 | 20 | 40 | 500 | y2 + 1y = x3 + 1x2 + 2x + 3 | 8 | 0 | 41 | 500 | y2 + 1y = x3 + 1x2 + 3 | 8 | 0 | 42 | 1000 | y2 + 1y = x3 + 1x2 + 3x | 4 | 16 | 43 | 500 | y2 + 1y = x3 + 1x2 + 3x + 1 | 8 | 6 | 44 | 1000 | y2 + 1y = x3 + 1x2 + 3x + 3 | 4 | 6 | 45 | 500 | y2 + 1y = x3 + 1x2 + 4x + 2 | 8 | 24 | 46 | 250 | y2 + 1y = x3 + 1x2 + 4x + 3 | 16 | 0 | 47 | 500 | y2 + 1y = x3 + 1x2 + 4x + 7 | 8 | 0 | 48 | 250 | y2 + 1y = x3 + 1x2 + 4x + 8 | 16 | 4 | 49 | 250 | y2 + 1y = x3 + 1x2 + 5 | 16 | 0 | 50 | 500 | y2 + 1y = x3 + 1x2 + 5x | 8 | 18 | 51 | 1000 | y2 + 1y = x3 + 1x2 + 5x + 2 | 4 | 8 | 52 | 500 | y2 + 1y = x3 + 1x2 + 6x | 8 | 8 | 53 | 500 | y2 + 1y = x3 + 1x2 + 6x + 1 | 8 | 0 | 54 | 250 | y2 + 1y = x3 + 1x2 + 6x + 2 | 16 | 28 | 55 | 500 | y2 + 1y = x3 + 1x2 + 6x + 5 | 8 | 0 | 56 | 500 | y2 + 1y = x3 + 1x2 + 6x + 6 | 8 | 28 | 57 | 250 | y2 + 1y = x3 + 1x2 + 6x + 7 | 16 | 0 | 58 | 1000 | y2 + 1y = x3 + 1x2 + 7x + 1 | 4 | 10 | 59 | 1000 | y2 + 1y = x3 + 1x2 + 9x + 2 | 4 | 12 | 60 | 500 | y2 + 1y = x3 + 1x2 + 9x + 3 | 8 | 2 |
|---|