| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 27648 | y2 + 10xy + 11y = x3 | 4 | 40 | 2 | 27648 | y2 + 10xy + 11y = x3 + 1 | 4 | 16 | 3 | 27648 | y2 + 10xy + 11y = x3 + 10 | 4 | 16 | 4 | 27648 | y2 + 10xy + 11y = x3 + 10x | 4 | 16 | 5 | 27648 | y2 + 10xy + 11y = x3 + 10x + 11 | 4 | 40 | 6 | 27648 | y2 + 10xy + 11y = x3 + 10x + 14 | 4 | 40 | 7 | 27648 | y2 + 10xy + 11y = x3 + 10x + 15 | 4 | 16 | 8 | 27648 | y2 + 10xy + 11y = x3 + 10x2 | 4 | 32 | 9 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 1 | 4 | 8 | 10 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 10 | 4 | 8 | 11 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 1 | 4 | 32 | 12 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 10 | 4 | 32 | 13 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 11 | 4 | 8 | 14 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 14 | 4 | 8 | 15 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 11x | 4 | 64 | 16 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 1 | 4 | 0 | 17 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 10 | 4 | 16 | 18 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 15 | 4 | 0 | 19 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 12x + 15 | 4 | 32 | 20 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 13x + 1 | 4 | 0 | 21 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 13x + 10 | 4 | 64 | 22 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 13x + 11 | 4 | 0 | 23 | 27648 | y2 + 10xy + 11y = x3 + 10x2 + 13x + 14 | 4 | 16 | 24 | 27648 | y2 + 10xy + 11y = x3 + 11x | 4 | 80 | 25 | 27648 | y2 + 10xy + 11y = x3 + 11x + 1 | 4 | 0 | 26 | 27648 | y2 + 10xy + 11y = x3 + 11x + 10 | 4 | 32 | 27 | 27648 | y2 + 10xy + 11y = x3 + 11x + 15 | 4 | 0 | 28 | 27648 | y2 + 10xy + 11y = x3 + 11x2 | 4 | 48 | 29 | 27648 | y2 + 10xy + 11y = x3 + 11x2 + 1 | 4 | 0 | 30 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 10x | 12 | 96 | 31 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 1 | 12 | 0 | 32 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 10 | 12 | 0 | 33 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 11 | 12 | 0 | 34 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 14 | 12 | 48 | 35 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 15 | 12 | 0 | 36 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 13x | 12 | 48 | 37 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 13x + 1 | 12 | 0 | 38 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 13x + 10 | 12 | 0 | 39 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 13x + 11 | 12 | 24 | 40 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 13x + 14 | 12 | 24 | 41 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 13x + 15 | 12 | 48 | 42 | 27648 | y2 + 10xy + 11y = x3 + 11x2 + 15x | 4 | 24 | 43 | 27648 | y2 + 10xy + 11y = x3 + 11x2 + 15x + 1 | 4 | 24 | 44 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 16x | 12 | 96 | 45 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 16x + 1 | 12 | 0 | 46 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 16x + 10 | 12 | 0 | 47 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 16x + 11 | 12 | 0 | 48 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 16x + 14 | 12 | 48 | 49 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 16x + 15 | 12 | 0 | 50 | 27648 | y2 + 10xy + 11y = x3 + 11x2 + 18x | 4 | 48 | 51 | 27648 | y2 + 10xy + 11y = x3 + 11x2 + 18x + 1 | 4 | 0 | 52 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 19x | 12 | 48 | 53 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 19x + 1 | 12 | 0 | 54 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 19x + 10 | 12 | 0 | 55 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 19x + 11 | 12 | 24 | 56 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 19x + 14 | 12 | 24 | 57 | 9216 | y2 + 10xy + 11y = x3 + 11x2 + 19x + 15 | 12 | 48 | 58 | 27648 | y2 + 10xy + 11y = x3 + 11x2 + 21x | 4 | 24 | 59 | 27648 | y2 + 10xy + 11y = x3 + 11x2 + 21x + 1 | 4 | 24 | 60 | 27648 | y2 + 10xy + 11y = x3 + 12x + 15 | 4 | 40 | 61 | 27648 | y2 + 10xy + 11y = x3 + 12x2 + 13x | 4 | 32 | 62 | 27648 | y2 + 10xy + 11y = x3 + 12x2 + 13x + 11 | 4 | 0 | 63 | 27648 | y2 + 10xy + 11y = x3 + 12x2 + 13x + 14 | 4 | 80 | 64 | 27648 | y2 + 10xy + 11y = x3 + 12x2 + 13x + 15 | 4 | 0 | 65 | 27648 | y2 + 11xy + 10y = x3 + 1 | 4 | 24 | 66 | 27648 | y2 + 11xy + 10y = x3 + 10x + 11 | 4 | 60 | 67 | 27648 | y2 + 11xy + 10y = x3 + 10x + 15 | 4 | 24 | 68 | 27648 | y2 + 11xy + 10y = x3 + 10x + 17 | 4 | 60 | 69 | 27648 | y2 + 11xy + 10y = x3 + 10x + 21 | 4 | 24 | 70 | 27648 | y2 + 11xy + 10y = x3 + 10x + 23 | 4 | 60 | 71 | 27648 | y2 + 11xy + 10y = x3 + 10x + 3 | 4 | 24 | 72 | 27648 | y2 + 11xy + 10y = x3 + 10x + 5 | 4 | 60 | 73 | 27648 | y2 + 11xy + 10y = x3 + 10x2 + 1 | 4 | 12 | 74 | 27648 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 1 | 4 | 48 | 75 | 27648 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 11 | 4 | 12 | 76 | 27648 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 13 | 4 | 48 | 77 | 27648 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 19 | 4 | 48 | 78 | 27648 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 23 | 4 | 12 | 79 | 27648 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 5 | 4 | 12 | 80 | 27648 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 7 | 4 | 48 | 81 | 27648 | y2 + 11xy + 10y = x3 + 11x2 + 1 | 4 | 12 | 82 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 1 | 12 | 0 | 83 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 11 | 12 | 12 | 84 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 13 | 12 | 0 | 85 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 15 | 12 | 24 | 86 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 17 | 12 | 12 | 87 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 19 | 12 | 0 | 88 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 21 | 12 | 24 | 89 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 23 | 12 | 12 | 90 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 3 | 12 | 24 | 91 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 5 | 12 | 12 | 92 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 7 | 12 | 0 | 93 | 9216 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 9 | 12 | 24 | 94 | 27648 | y2 + 11xy + 10y = x3 + 11x2 + 11 | 4 | 12 | 95 | 27648 | y2 + 11xy + 10y = x3 + 11x2 + 12x + 13 | 4 | 12 | 96 | 27648 | y2 + 11xy + 10y = x3 + 11x2 + 12x + 15 | 4 | 12 | 97 | 27648 | y2 + 11xy + 10y = x3 + 13x2 + 1 | 4 | 4 | 98 | 27648 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 1 | 4 | 16 | 99 | 27648 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 11 | 4 | 4 | 100 | 27648 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 13 | 4 | 16 | 101 | 27648 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 19 | 4 | 16 | 102 | 27648 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 23 | 4 | 4 | 103 | 27648 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 5 | 4 | 4 | 104 | 27648 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 7 | 4 | 16 | 105 | 27648 | y2 + 11xy + 10y = x3 + 14x2 + 1 | 4 | 36 | 106 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 1 | 12 | 0 | 107 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 11 | 12 | 36 | 108 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 13 | 12 | 0 | 109 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 15 | 12 | 72 | 110 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 17 | 12 | 36 | 111 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 19 | 12 | 0 | 112 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 21 | 12 | 72 | 113 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 23 | 12 | 36 | 114 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 3 | 12 | 72 | 115 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 5 | 12 | 36 | 116 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 7 | 12 | 0 | 117 | 9216 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 9 | 12 | 72 | 118 | 27648 | y2 + 11xy + 10y = x3 + 14x2 + 11 | 4 | 36 | 119 | 27648 | y2 + 11xy + 10y = x3 + 14x2 + 12x + 13 | 4 | 36 | 120 | 27648 | y2 + 11xy + 10y = x3 + 14x2 + 12x + 15 | 4 | 36 | 121 | 27648 | y2 + 11xy + 10y = x3 + 15x2 + 1 | 4 | 8 | 122 | 27648 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 11 | 4 | 20 | 123 | 27648 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 15 | 4 | 8 | 124 | 27648 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 17 | 4 | 20 | 125 | 27648 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 21 | 4 | 8 | 126 | 27648 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 23 | 4 | 20 | 127 | 27648 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 3 | 4 | 8 | 128 | 27648 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 5 | 4 | 20 |
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