| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 6750 | y2 + 10xy + 10y = x3 + 10x + 1 | 4 | 10 | 2 | 6750 | y2 + 10xy + 10y = x3 + 10x + 12 | 4 | 25 | 3 | 6750 | y2 + 10xy + 10y = x3 + 10x + 13 | 4 | 10 | 4 | 6750 | y2 + 10xy + 10y = x3 + 10x + 6 | 4 | 25 | 5 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 1 | 4 | 20 | 6 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 1 | 4 | 5 | 7 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 12 | 4 | 20 | 8 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 13 | 4 | 5 | 9 | 3375 | y2 + 10xy + 10y = x3 + 10x2 + 11x | 8 | 12 | 10 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 1 | 4 | 8 | 11 | 3375 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 10 | 8 | 3 | 12 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 12 | 4 | 12 | 13 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 13 | 4 | 3 | 14 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 6 | 4 | 32 | 15 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 12x + 1 | 4 | 24 | 16 | 3375 | y2 + 10xy + 10y = x3 + 10x2 + 12x + 10 | 8 | 4 | 17 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 12x + 11 | 4 | 6 | 18 | 3375 | y2 + 10xy + 10y = x3 + 10x2 + 12x + 5 | 8 | 1 | 19 | 3375 | y2 + 10xy + 10y = x3 + 10x2 + 13x | 8 | 36 | 20 | 3375 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 10 | 8 | 9 | 21 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 12 | 4 | 16 | 22 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 13 | 4 | 4 | 23 | 3375 | y2 + 10xy + 10y = x3 + 10x2 + 14x | 8 | 28 | 24 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 14x + 1 | 4 | 7 | 25 | 3375 | y2 + 10xy + 10y = x3 + 10x2 + 14x + 10 | 8 | 7 | 26 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 14x + 12 | 4 | 8 | 27 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 14x + 13 | 4 | 2 | 28 | 6750 | y2 + 10xy + 10y = x3 + 10x2 + 14x + 6 | 4 | 28 | 29 | 3375 | y2 + 10xy + 10y = x3 + 11x | 8 | 15 | 30 | 6750 | y2 + 10xy + 10y = x3 + 11x + 1 | 4 | 16 | 31 | 3375 | y2 + 10xy + 10y = x3 + 11x + 10 | 8 | 6 | 32 | 6750 | y2 + 10xy + 10y = x3 + 11x + 12 | 4 | 15 | 33 | 6750 | y2 + 10xy + 10y = x3 + 11x + 13 | 4 | 6 | 34 | 6750 | y2 + 10xy + 10y = x3 + 11x + 6 | 4 | 40 | 35 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 1 | 12 | 0 | 36 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 11 | 12 | 12 | 37 | 6750 | y2 + 10xy + 10y = x3 + 11x2 + 11x | 4 | 21 | 38 | 3375 | y2 + 10xy + 10y = x3 + 11x2 + 11x + 1 | 8 | 21 | 39 | 6750 | y2 + 10xy + 10y = x3 + 11x2 + 11x + 13 | 4 | 6 | 40 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 12 | 12 | 24 | 41 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 12x | 12 | 30 | 42 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 1 | 12 | 0 | 43 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 11 | 12 | 15 | 44 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 12 | 12 | 30 | 45 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 14 | 12 | 15 | 46 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 4 | 12 | 0 | 47 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 14 | 24 | 27 | 48 | 6750 | y2 + 10xy + 10y = x3 + 11x2 + 14x + 1 | 4 | 18 | 49 | 3375 | y2 + 10xy + 10y = x3 + 11x2 + 14x + 12 | 8 | 3 | 50 | 6750 | y2 + 10xy + 10y = x3 + 11x2 + 2x | 4 | 15 | 51 | 6750 | y2 + 10xy + 10y = x3 + 11x2 + 2x + 12 | 4 | 15 | 52 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 3x | 24 | 18 | 53 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 1 | 12 | 0 | 54 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 10 | 24 | 0 | 55 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 11 | 12 | 24 | 56 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 12 | 12 | 18 | 57 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 13 | 12 | 0 | 58 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 2 | 12 | 9 | 59 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 5 | 24 | 9 | 60 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 6 | 12 | 48 | 61 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 4 | 24 | 0 | 62 | 6750 | y2 + 10xy + 10y = x3 + 11x2 + 5x + 1 | 4 | 12 | 63 | 3375 | y2 + 10xy + 10y = x3 + 11x2 + 5x + 14 | 8 | 27 | 64 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 6x | 12 | 42 | 65 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 6x + 1 | 24 | 0 | 66 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 6x + 10 | 12 | 0 | 67 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 6x + 11 | 24 | 21 | 68 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 6x + 13 | 12 | 0 | 69 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 6x + 14 | 12 | 6 | 70 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 6x + 2 | 12 | 21 | 71 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 6x + 3 | 12 | 12 | 72 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 6x + 6 | 24 | 42 | 73 | 3375 | y2 + 10xy + 10y = x3 + 11x2 + 8x | 8 | 9 | 74 | 6750 | y2 + 10xy + 10y = x3 + 11x2 + 8x + 1 | 4 | 24 | 75 | 6750 | y2 + 10xy + 10y = x3 + 11x2 + 8x + 12 | 4 | 9 | 76 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 9 | 24 | 54 | 77 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 9x + 1 | 12 | 0 | 78 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 9x + 11 | 12 | 18 | 79 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 9x + 12 | 24 | 6 | 80 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 9x + 2 | 24 | 3 | 81 | 2250 | y2 + 10xy + 10y = x3 + 11x2 + 9x + 3 | 12 | 36 | 82 | 1125 | y2 + 10xy + 10y = x3 + 11x2 + 9x + 7 | 24 | 0 | 83 | 3375 | y2 + 10xy + 10y = x3 + 12x | 8 | 2 | 84 | 6750 | y2 + 10xy + 10y = x3 + 12x + 11 | 4 | 30 | 85 | 3375 | y2 + 10xy + 10y = x3 + 12x + 5 | 8 | 5 | 86 | 6750 | y2 + 10xy + 10y = x3 + 12x + 6 | 4 | 12 | 87 | 3375 | y2 + 10xy + 10y = x3 + 12x2 + 11x + 1 | 8 | 18 | 88 | 6750 | y2 + 10xy + 10y = x3 + 12x2 + 11x + 13 | 4 | 8 | 89 | 6750 | y2 + 10xy + 10y = x3 + 12x2 + 11x + 3 | 4 | 20 | 90 | 3375 | y2 + 10xy + 10y = x3 + 12x2 + 11x + 6 | 8 | 45 | 91 | 3375 | y2 + 10xy + 10y = x3 + 12x2 + 12x | 8 | 14 | 92 | 6750 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 11 | 4 | 35 | 93 | 6750 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 12 | 4 | 4 | 94 | 6750 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 2 | 4 | 10 | 95 | 3375 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 5 | 8 | 35 | 96 | 6750 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 6 | 4 | 14 |
|---|