| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 27783 | y2 + 10xy + 10y = x3 | 4 | 10 | 2 | 27783 | y2 + 10xy + 10y = x3 + 10x | 4 | 50 | 3 | 27783 | y2 + 10xy + 10y = x3 + 10x + 1 | 4 | 14 | 4 | 27783 | y2 + 10xy + 10y = x3 + 10x + 12 | 4 | 45 | 5 | 27783 | y2 + 10xy + 10y = x3 + 10x + 15 | 4 | 35 | 6 | 27783 | y2 + 10xy + 10y = x3 + 10x + 16 | 4 | 8 | 7 | 27783 | y2 + 10xy + 10y = x3 + 10x + 18 | 4 | 25 | 8 | 27783 | y2 + 10xy + 10y = x3 + 10x + 19 | 4 | 18 | 9 | 27783 | y2 + 10xy + 10y = x3 + 10x + 4 | 4 | 10 | 10 | 27783 | y2 + 10xy + 10y = x3 + 10x + 7 | 4 | 20 | 11 | 27783 | y2 + 10xy + 10y = x3 + 10x + 9 | 4 | 20 | 12 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10 | 4 | 28 | 13 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x | 4 | 36 | 14 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 10 | 4 | 7 | 15 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 13 | 4 | 5 | 16 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 16 | 4 | 10 | 17 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 18 | 4 | 16 | 18 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 4 | 4 | 4 | 19 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 6 | 4 | 20 | 20 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 7 | 4 | 9 | 21 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 9 | 4 | 40 | 22 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x | 4 | 36 | 23 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 1 | 4 | 6 | 24 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 10 | 4 | 7 | 25 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 12 | 4 | 32 | 26 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 13 | 4 | 5 | 27 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 15 | 4 | 24 | 28 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 16 | 4 | 3 | 29 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 18 | 4 | 44 | 30 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 19 | 4 | 8 | 31 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 3 | 4 | 28 | 32 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 4 | 4 | 11 | 33 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 6 | 4 | 20 | 34 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 7 | 4 | 9 | 35 | 27783 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 9 | 4 | 12 | 36 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x | 12 | 8 | 37 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 1 | 12 | 6 | 38 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 12 | 12 | 32 | 39 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 13 | 12 | 12 | 40 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 15 | 12 | 24 | 41 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 16 | 12 | 3 | 42 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 18 | 12 | 44 | 43 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 19 | 12 | 8 | 44 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 4 | 12 | 11 | 45 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 6 | 12 | 48 | 46 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 7 | 12 | 2 | 47 | 9261 | y2 + 10xy + 10y = x3 + 10x2 + 13x + 9 | 12 | 12 | 48 | 27783 | y2 + 10xy + 10y = x3 + 11 | 4 | 35 | 49 | 9261 | y2 + 10xy + 10y = x3 + 11x2 | 12 | 54 | 50 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 1 | 12 | 0 | 51 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 10 | 12 | 0 | 52 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 11 | 12 | 33 | 53 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 11x | 12 | 18 | 54 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 11x + 1 | 12 | 9 | 55 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 11x + 10 | 12 | 33 | 56 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 11x + 11 | 12 | 24 | 57 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 11x + 12 | 12 | 36 | 58 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 11x + 13 | 12 | 6 | 59 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12 | 12 | 48 | 60 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x | 12 | 42 | 61 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 1 | 12 | 0 | 62 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 10 | 12 | 0 | 63 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 11 | 12 | 27 | 64 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 13 | 12 | 0 | 65 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 14 | 12 | 21 | 66 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 15 | 12 | 24 | 67 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 17 | 12 | 15 | 68 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 18 | 12 | 54 | 69 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 20 | 12 | 30 | 70 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 3 | 12 | 30 | 71 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 4 | 12 | 0 | 72 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 6 | 12 | 60 | 73 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 7 | 12 | 0 | 74 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 12x + 8 | 12 | 12 | 75 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 13 | 12 | 0 | 76 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 14 | 12 | 27 | 77 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 14x | 4 | 27 | 78 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 14x + 1 | 4 | 18 | 79 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 14x + 10 | 4 | 21 | 80 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 14x + 11 | 4 | 33 | 81 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 14x + 12 | 4 | 24 | 82 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 14x + 13 | 4 | 15 | 83 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 14x + 16 | 4 | 9 | 84 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 15 | 12 | 36 | 85 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 16 | 12 | 0 | 86 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 17 | 12 | 21 | 87 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 18 | 12 | 66 | 88 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x | 36 | 36 | 89 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 1 | 36 | 0 | 90 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 10 | 36 | 0 | 91 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 11 | 36 | 24 | 92 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 12 | 36 | 72 | 93 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 13 | 36 | 0 | 94 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 14 | 36 | 18 | 95 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 15 | 36 | 18 | 96 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 17 | 36 | 33 | 97 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 18 | 36 | 48 | 98 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 19 | 36 | 0 | 99 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 20 | 36 | 6 | 100 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 3 | 36 | 66 | 101 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 4 | 36 | 0 | 102 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 5 | 36 | 36 | 103 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 6 | 36 | 12 | 104 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 7 | 36 | 0 | 105 | 3087 | y2 + 10xy + 10y = x3 + 11x2 + 18x + 8 | 36 | 9 | 106 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 19 | 12 | 0 | 107 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 2 | 12 | 9 | 108 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 20 | 12 | 15 | 109 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 20x + 1 | 4 | 15 | 110 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 20x + 11 | 4 | 30 | 111 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 20x + 12 | 4 | 21 | 112 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 20x + 13 | 4 | 12 | 113 | 27783 | y2 + 10xy + 10y = x3 + 11x2 + 20x + 16 | 4 | 27 | 114 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 3 | 12 | 42 | 115 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 3x | 12 | 30 | 116 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 1 | 12 | 0 | 117 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 19 | 12 | 0 | 118 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 2 | 12 | 18 | 119 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 20 | 12 | 24 | 120 | 9261 | y2 + 10xy + 10y = x3 + 11x2 + 3x + 3 | 12 | 18 | 121 | 27783 | y2 + 10xy + 10y = x3 + 12 | 4 | 22 | 122 | 27783 | y2 + 10xy + 10y = x3 + 12x + 11 | 4 | 30 | 123 | 27783 | y2 + 10xy + 10y = x3 + 12x + 12 | 4 | 6 | 124 | 27783 | y2 + 10xy + 10y = x3 + 12x + 14 | 4 | 55 | 125 | 27783 | y2 + 10xy + 10y = x3 + 12x + 15 | 4 | 16 | 126 | 27783 | y2 + 10xy + 10y = x3 + 12x + 17 | 4 | 45 | 127 | 27783 | y2 + 10xy + 10y = x3 + 12x + 18 | 4 | 12 | 128 | 27783 | y2 + 10xy + 10y = x3 + 12x + 2 | 4 | 25 | 129 | 27783 | y2 + 10xy + 10y = x3 + 12x + 3 | 4 | 18 | 130 | 27783 | y2 + 10xy + 10y = x3 + 12x + 5 | 4 | 15 | 131 | 27783 | y2 + 10xy + 10y = x3 + 12x + 6 | 4 | 14 | 132 | 27783 | y2 + 10xy + 10y = x3 + 12x + 8 | 4 | 40 | 133 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x | 12 | 12 | 134 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 11 | 12 | 40 | 135 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 12 | 12 | 24 | 136 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 14 | 12 | 30 | 137 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 15 | 12 | 6 | 138 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 17 | 12 | 55 | 139 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 18 | 12 | 16 | 140 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 20 | 12 | 10 | 141 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 3 | 12 | 22 | 142 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 5 | 12 | 60 | 143 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 6 | 12 | 4 | 144 | 9261 | y2 + 10xy + 10y = x3 + 12x2 + 12x + 8 | 12 | 15 |
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