| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 6 | y2 = x3 + 1 | 6 | 47 | 2 | 9 | y2 = x3 + 10x | 4 | 35 | 3 | 18 | y2 = x3 + 10x + 1 | 2 | 47 | 4 | 18 | y2 = x3 + 10x + 10 | 2 | 43 | 5 | 18 | y2 = x3 + 10x + 11 | 2 | 45 | 6 | 18 | y2 = x3 + 10x + 12 | 2 | 28 | 7 | 18 | y2 = x3 + 10x + 13 | 2 | 32 | 8 | 18 | y2 = x3 + 10x + 14 | 2 | 39 | 9 | 18 | y2 = x3 + 10x + 15 | 2 | 26 | 10 | 18 | y2 = x3 + 10x + 16 | 2 | 40 | 11 | 18 | y2 = x3 + 10x + 18 | 2 | 33 | 12 | 18 | y2 = x3 + 10x + 2 | 2 | 39 | 13 | 18 | y2 = x3 + 10x + 28 | 2 | 41 | 14 | 18 | y2 = x3 + 10x + 29 | 2 | 34 | 15 | 18 | y2 = x3 + 10x + 3 | 2 | 38 | 16 | 18 | y2 = x3 + 10x + 30 | 2 | 43 | 17 | 18 | y2 = x3 + 10x + 31 | 2 | 39 | 18 | 18 | y2 = x3 + 10x + 32 | 2 | 37 | 19 | 18 | y2 = x3 + 10x + 33 | 2 | 27 | 20 | 9 | y2 = x3 + 11x | 4 | 39 | 21 | 18 | y2 = x3 + 11x + 1 | 2 | 35 | 22 | 18 | y2 = x3 + 11x + 10 | 2 | 35 | 23 | 18 | y2 = x3 + 11x + 11 | 2 | 40 | 24 | 18 | y2 = x3 + 11x + 12 | 2 | 35 | 25 | 18 | y2 = x3 + 11x + 13 | 2 | 47 | 26 | 18 | y2 = x3 + 11x + 14 | 2 | 31 | 27 | 18 | y2 = x3 + 11x + 15 | 2 | 34 | 28 | 18 | y2 = x3 + 11x + 16 | 2 | 48 | 29 | 18 | y2 = x3 + 11x + 17 | 2 | 33 | 30 | 18 | y2 = x3 + 11x + 18 | 2 | 36 | 31 | 18 | y2 = x3 + 11x + 2 | 2 | 46 | 32 | 18 | y2 = x3 + 11x + 29 | 2 | 29 | 33 | 18 | y2 = x3 + 11x + 3 | 2 | 41 | 34 | 18 | y2 = x3 + 11x + 30 | 2 | 37 | 35 | 18 | y2 = x3 + 11x + 31 | 2 | 27 | 36 | 18 | y2 = x3 + 11x + 32 | 2 | 31 | 37 | 18 | y2 = x3 + 11x + 33 | 2 | 42 | 38 | 6 | y2 = x3 + 12 | 6 | 26 | 39 | 6 | y2 = x3 + 13 | 6 | 36 | 40 | 9 | y2 = x3 + 13x | 4 | 25 | 41 | 18 | y2 = x3 + 13x + 1 | 2 | 44 | 42 | 18 | y2 = x3 + 13x + 10 | 2 | 31 | 43 | 18 | y2 = x3 + 13x + 11 | 2 | 30 | 44 | 18 | y2 = x3 + 13x + 12 | 2 | 35 | 45 | 18 | y2 = x3 + 13x + 13 | 2 | 41 | 46 | 18 | y2 = x3 + 13x + 14 | 2 | 39 | 47 | 18 | y2 = x3 + 13x + 15 | 2 | 32 | 48 | 18 | y2 = x3 + 13x + 16 | 2 | 36 | 49 | 18 | y2 = x3 + 13x + 17 | 2 | 29 | 50 | 18 | y2 = x3 + 13x + 18 | 2 | 33 | 51 | 18 | y2 = x3 + 13x + 2 | 2 | 47 | 52 | 18 | y2 = x3 + 13x + 28 | 2 | 45 | 53 | 18 | y2 = x3 + 13x + 29 | 2 | 35 | 54 | 18 | y2 = x3 + 13x + 3 | 2 | 31 | 55 | 18 | y2 = x3 + 13x + 30 | 2 | 44 | 56 | 18 | y2 = x3 + 13x + 31 | 2 | 45 | 57 | 18 | y2 = x3 + 13x + 32 | 2 | 35 | 58 | 18 | y2 = x3 + 13x + 33 | 2 | 40 | 59 | 6 | y2 = x3 + 14 | 6 | 27 | 60 | 9 | y2 = x3 + 14x | 4 | 49 | 61 | 18 | y2 = x3 + 14x + 1 | 2 | 39 | 62 | 18 | y2 = x3 + 14x + 10 | 2 | 29 | 63 | 18 | y2 = x3 + 14x + 11 | 2 | 35 | 64 | 18 | y2 = x3 + 14x + 12 | 2 | 42 | 65 | 18 | y2 = x3 + 14x + 13 | 2 | 30 | 66 | 18 | y2 = x3 + 14x + 14 | 2 | 30 | 67 | 18 | y2 = x3 + 14x + 15 | 2 | 29 | 68 | 18 | y2 = x3 + 14x + 16 | 2 | 45 | 69 | 18 | y2 = x3 + 14x + 17 | 2 | 39 | 70 | 18 | y2 = x3 + 14x + 18 | 2 | 34 | 71 | 18 | y2 = x3 + 14x + 2 | 2 | 38 | 72 | 18 | y2 = x3 + 14x + 28 | 2 | 27 | 73 | 18 | y2 = x3 + 14x + 29 | 2 | 43 | 74 | 18 | y2 = x3 + 14x + 3 | 2 | 33 | 75 | 18 | y2 = x3 + 14x + 30 | 2 | 41 | 76 | 18 | y2 = x3 + 14x + 31 | 2 | 44 | 77 | 18 | y2 = x3 + 14x + 32 | 2 | 43 | 78 | 18 | y2 = x3 + 14x + 33 | 2 | 39 | 79 | 6 | y2 = x3 + 15 | 6 | 48 | 80 | 6 | y2 = x3 + 3 | 6 | 38 |
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