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