| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 1728 | y2 + 10xy + 11y = x3 | 4 | 20 | 2 | 1728 | y2 + 10xy + 11y = x3 + 1 | 4 | 8 | 3 | 1728 | y2 + 10xy + 11y = x3 + 10 | 4 | 8 | 4 | 1728 | y2 + 10xy + 11y = x3 + 10x + 11 | 4 | 20 | 5 | 1728 | y2 + 10xy + 11y = x3 + 10x2 | 4 | 16 | 6 | 1728 | y2 + 10xy + 11y = x3 + 10x2 + 1 | 4 | 4 | 7 | 1728 | y2 + 10xy + 11y = x3 + 10x2 + 10 | 4 | 4 | 8 | 1728 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 1 | 4 | 16 | 9 | 1728 | y2 + 10xy + 11y = x3 + 10x2 + 11x | 4 | 32 | 10 | 1728 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 1 | 4 | 0 | 11 | 1728 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 10 | 4 | 8 | 12 | 1728 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 3 | 4 | 0 | 13 | 1728 | y2 + 10xy + 11y = x3 + 11x | 4 | 40 | 14 | 1728 | y2 + 10xy + 11y = x3 + 11x + 1 | 4 | 0 | 15 | 1728 | y2 + 10xy + 11y = x3 + 11x + 10 | 4 | 16 | 16 | 1728 | y2 + 10xy + 11y = x3 + 11x + 3 | 4 | 0 | 17 | 1728 | y2 + 10xy + 11y = x3 + 11x2 | 4 | 24 | 18 | 1728 | y2 + 10xy + 11y = x3 + 11x2 + 1 | 4 | 0 | 19 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 10x | 12 | 48 | 20 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 1 | 12 | 0 | 21 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 10 | 12 | 0 | 22 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 11 | 12 | 0 | 23 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 2 | 12 | 24 | 24 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 3 | 12 | 0 | 25 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 1x | 12 | 24 | 26 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 1x + 1 | 12 | 0 | 27 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 1x + 10 | 12 | 0 | 28 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 1x + 11 | 12 | 12 | 29 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 1x + 2 | 12 | 12 | 30 | 576 | y2 + 10xy + 11y = x3 + 11x2 + 1x + 3 | 12 | 24 | 31 | 1728 | y2 + 10xy + 11y = x3 + 11x2 + 3x | 4 | 12 | 32 | 1728 | y2 + 10xy + 11y = x3 + 11x2 + 3x + 1 | 4 | 12 | 33 | 1728 | y2 + 11xy + 10y = x3 + 1 | 4 | 12 | 34 | 1728 | y2 + 11xy + 10y = x3 + 10x + 11 | 4 | 30 | 35 | 1728 | y2 + 11xy + 10y = x3 + 10x + 3 | 4 | 12 | 36 | 1728 | y2 + 11xy + 10y = x3 + 10x + 5 | 4 | 30 | 37 | 1728 | y2 + 11xy + 10y = x3 + 10x2 + 1 | 4 | 6 | 38 | 1728 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 1 | 4 | 24 | 39 | 1728 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 11 | 4 | 6 | 40 | 1728 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 7 | 4 | 24 | 41 | 1728 | y2 + 11xy + 10y = x3 + 11x2 + 1 | 4 | 6 | 42 | 576 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 1 | 12 | 0 | 43 | 576 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 11 | 12 | 6 | 44 | 576 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 3 | 12 | 12 | 45 | 576 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 5 | 12 | 6 | 46 | 576 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 7 | 12 | 0 | 47 | 576 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 9 | 12 | 12 | 48 | 1728 | y2 + 11xy + 10y = x3 + 11x2 + 11 | 4 | 6 | 49 | 1728 | y2 + 11xy + 10y = x3 + 1x2 + 1 | 4 | 2 | 50 | 1728 | y2 + 11xy + 10y = x3 + 1x2 + 10x + 1 | 4 | 8 | 51 | 1728 | y2 + 11xy + 10y = x3 + 1x2 + 10x + 11 | 4 | 2 | 52 | 1728 | y2 + 11xy + 10y = x3 + 1x2 + 10x + 7 | 4 | 8 | 53 | 1728 | y2 + 11xy + 10y = x3 + 2x2 + 1 | 4 | 18 | 54 | 576 | y2 + 11xy + 10y = x3 + 2x2 + 10x + 1 | 12 | 0 | 55 | 576 | y2 + 11xy + 10y = x3 + 2x2 + 10x + 11 | 12 | 18 | 56 | 576 | y2 + 11xy + 10y = x3 + 2x2 + 10x + 3 | 12 | 36 | 57 | 576 | y2 + 11xy + 10y = x3 + 2x2 + 10x + 5 | 12 | 18 | 58 | 576 | y2 + 11xy + 10y = x3 + 2x2 + 10x + 7 | 12 | 0 | 59 | 576 | y2 + 11xy + 10y = x3 + 2x2 + 10x + 9 | 12 | 36 | 60 | 1728 | y2 + 11xy + 10y = x3 + 2x2 + 11 | 4 | 18 | 61 | 1728 | y2 + 11xy + 10y = x3 + 3x2 + 1 | 4 | 4 | 62 | 1728 | y2 + 11xy + 10y = x3 + 3x2 + 10x + 11 | 4 | 10 | 63 | 1728 | y2 + 11xy + 10y = x3 + 3x2 + 10x + 3 | 4 | 4 | 64 | 1728 | y2 + 11xy + 10y = x3 + 3x2 + 10x + 5 | 4 | 10 |
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