| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 20577 | y2 + 10xy + 10y = x3 | 6 | 26 | 2 | 20577 | y2 + 10xy + 10y = x3 + 1 | 6 | 27 | 3 | 61731 | y2 + 10xy + 10y = x3 + 10x | 2 | 25 | 4 | 61731 | y2 + 10xy + 10y = x3 + 10x + 1 | 2 | 19 | 5 | 61731 | y2 + 10xy + 10y = x3 + 10x + 10 | 2 | 26 | 6 | 61731 | y2 + 10xy + 10y = x3 + 10x + 11 | 2 | 17 | 7 | 61731 | y2 + 10xy + 10y = x3 + 10x + 12 | 2 | 23 | 8 | 61731 | y2 + 10xy + 10y = x3 + 10x + 13 | 2 | 15 | 9 | 61731 | y2 + 10xy + 10y = x3 + 10x + 14 | 2 | 21 | 10 | 61731 | y2 + 10xy + 10y = x3 + 10x + 15 | 2 | 12 | 11 | 61731 | y2 + 10xy + 10y = x3 + 10x + 16 | 2 | 16 | 12 | 61731 | y2 + 10xy + 10y = x3 + 10x + 17 | 2 | 23 | 13 | 61731 | y2 + 10xy + 10y = x3 + 10x + 18 | 2 | 23 | 14 | 61731 | y2 + 10xy + 10y = x3 + 10x + 2 | 2 | 14 | 15 | 61731 | y2 + 10xy + 10y = x3 + 10x + 3 | 2 | 19 | 16 | 61731 | y2 + 10xy + 10y = x3 + 10x + 4 | 2 | 24 | 17 | 61731 | y2 + 10xy + 10y = x3 + 10x + 5 | 2 | 19 | 18 | 61731 | y2 + 10xy + 10y = x3 + 10x + 6 | 2 | 13 | 19 | 61731 | y2 + 10xy + 10y = x3 + 10x + 7 | 2 | 15 | 20 | 61731 | y2 + 10xy + 10y = x3 + 10x + 8 | 2 | 15 | 21 | 61731 | y2 + 10xy + 10y = x3 + 10x + 9 | 2 | 22 | 22 | 61731 | y2 + 10xy + 10y = x3 + 10x2 | 2 | 27 | 23 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 1 | 2 | 14 | 24 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 10 | 2 | 15 | 25 | 20577 | y2 + 10xy + 10y = x3 + 10x2 + 10x | 6 | 11 | 26 | 20577 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 14 | 6 | 12 | 27 | 20577 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 16 | 6 | 20 | 28 | 20577 | y2 + 10xy + 10y = x3 + 10x2 + 10x + 3 | 6 | 18 | 29 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11 | 2 | 18 | 30 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x | 2 | 23 | 31 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 1 | 2 | 25 | 32 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 11 | 2 | 19 | 33 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 12 | 2 | 20 | 34 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 13 | 2 | 11 | 35 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 15 | 2 | 18 | 36 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 17 | 2 | 17 | 37 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 18 | 2 | 17 | 38 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 2 | 2 | 13 | 39 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 4 | 2 | 21 | 40 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 5 | 2 | 21 | 41 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 6 | 2 | 24 | 42 | 61731 | y2 + 10xy + 10y = x3 + 10x2 + 11x + 7 | 2 | 20 |
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