| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 8748 | y2 + 10xy + 11y = x3 | 4 | 30 | 2 | 8748 | y2 + 10xy + 11y = x3 + 1 | 4 | 12 | 3 | 8748 | y2 + 10xy + 11y = x3 + 10x | 4 | 12 | 4 | 8748 | y2 + 10xy + 11y = x3 + 10x + 11 | 4 | 30 | 5 | 8748 | y2 + 10xy + 11y = x3 + 10x + 12 | 4 | 12 | 6 | 8748 | y2 + 10xy + 11y = x3 + 10x + 17 | 4 | 30 | 7 | 8748 | y2 + 10xy + 11y = x3 + 10x2 | 4 | 24 | 8 | 8748 | y2 + 10xy + 11y = x3 + 10x2 + 1 | 4 | 6 | 9 | 8748 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 1 | 4 | 24 | 10 | 8748 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 11 | 4 | 6 | 11 | 8748 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 16 | 4 | 24 | 12 | 8748 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 17 | 4 | 6 | 13 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x | 8 | 48 | 14 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 1 | 8 | 0 | 15 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 10 | 8 | 12 | 16 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 12 | 8 | 48 | 17 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 13 | 8 | 0 | 18 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 15 | 8 | 0 | 19 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 16 | 8 | 12 | 20 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 3 | 8 | 0 | 21 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 4 | 8 | 12 | 22 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 6 | 8 | 48 | 23 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 7 | 8 | 0 | 24 | 4374 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 9 | 8 | 0 | 25 | 4374 | y2 + 10xy + 11y = x3 + 11x | 8 | 60 | 26 | 4374 | y2 + 10xy + 11y = x3 + 11x + 1 | 8 | 0 | 27 | 4374 | y2 + 10xy + 11y = x3 + 11x + 10 | 8 | 24 | 28 | 4374 | y2 + 10xy + 11y = x3 + 11x + 12 | 8 | 60 | 29 | 4374 | y2 + 10xy + 11y = x3 + 11x + 13 | 8 | 0 | 30 | 4374 | y2 + 10xy + 11y = x3 + 11x + 15 | 8 | 0 | 31 | 4374 | y2 + 10xy + 11y = x3 + 11x + 16 | 8 | 24 | 32 | 4374 | y2 + 10xy + 11y = x3 + 11x + 3 | 8 | 0 | 33 | 4374 | y2 + 10xy + 11y = x3 + 11x + 4 | 8 | 24 | 34 | 4374 | y2 + 10xy + 11y = x3 + 11x + 6 | 8 | 60 | 35 | 4374 | y2 + 10xy + 11y = x3 + 11x + 7 | 8 | 0 | 36 | 4374 | y2 + 10xy + 11y = x3 + 11x + 9 | 8 | 0 | 37 | 4374 | y2 + 10xy + 11y = x3 + 11x2 | 8 | 36 | 38 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 1 | 8 | 0 | 39 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 10 | 8 | 36 | 40 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 10x | 8 | 72 | 41 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 1 | 8 | 0 | 42 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 10 | 8 | 0 | 43 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 11 | 8 | 0 | 44 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 14 | 8 | 36 | 45 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 10x + 15 | 8 | 0 | 46 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 11 | 8 | 0 | 47 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 12x + 14 | 8 | 36 | 48 | 4374 | y2 + 10xy + 11y = x3 + 11x2 + 12x + 15 | 8 | 0 | 49 | 8748 | y2 + 10xy + 11y = x3 + 11x2 + 13x | 4 | 36 | 50 | 8748 | y2 + 10xy + 11y = x3 + 11x2 + 13x + 1 | 4 | 0 | 51 | 8748 | y2 + 10xy + 11y = x3 + 11x2 + 13x + 11 | 4 | 18 | 52 | 8748 | y2 + 10xy + 11y = x3 + 11x2 + 15x | 4 | 18 | 53 | 8748 | y2 + 10xy + 11y = x3 + 11x2 + 15x + 1 | 4 | 18 | 54 | 8748 | y2 + 10xy + 11y = x3 + 11x2 + 15x + 11 | 4 | 18 | 55 | 8748 | y2 + 11xy + 10y = x3 + 1 | 4 | 18 | 56 | 8748 | y2 + 11xy + 10y = x3 + 10x + 11 | 4 | 45 | 57 | 8748 | y2 + 11xy + 10y = x3 + 10x + 17 | 4 | 45 | 58 | 8748 | y2 + 11xy + 10y = x3 + 10x + 3 | 4 | 18 | 59 | 8748 | y2 + 11xy + 10y = x3 + 10x + 5 | 4 | 45 | 60 | 8748 | y2 + 11xy + 10y = x3 + 10x + 9 | 4 | 18 | 61 | 8748 | y2 + 11xy + 10y = x3 + 10x2 + 1 | 4 | 9 | 62 | 8748 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 1 | 4 | 36 | 63 | 8748 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 11 | 4 | 9 | 64 | 8748 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 13 | 4 | 36 | 65 | 8748 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 17 | 4 | 9 | 66 | 8748 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 7 | 4 | 36 | 67 | 8748 | y2 + 11xy + 10y = x3 + 11x2 + 1 | 4 | 9 | 68 | 8748 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 1 | 4 | 0 | 69 | 8748 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 11 | 4 | 9 | 70 | 8748 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 15 | 4 | 18 | 71 | 8748 | y2 + 11xy + 10y = x3 + 11x2 + 11 | 4 | 9 | 72 | 8748 | y2 + 11xy + 10y = x3 + 11x2 + 12x + 15 | 4 | 9 | 73 | 8748 | y2 + 11xy + 10y = x3 + 13x2 + 1 | 4 | 3 | 74 | 8748 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 1 | 4 | 12 | 75 | 8748 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 11 | 4 | 3 | 76 | 8748 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 13 | 4 | 12 | 77 | 8748 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 17 | 4 | 3 | 78 | 8748 | y2 + 11xy + 10y = x3 + 13x2 + 10x + 7 | 4 | 12 | 79 | 8748 | y2 + 11xy + 10y = x3 + 14x2 + 1 | 4 | 27 | 80 | 8748 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 1 | 4 | 0 | 81 | 8748 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 11 | 4 | 27 | 82 | 8748 | y2 + 11xy + 10y = x3 + 14x2 + 10x + 15 | 4 | 54 | 83 | 8748 | y2 + 11xy + 10y = x3 + 14x2 + 11 | 4 | 27 | 84 | 8748 | y2 + 11xy + 10y = x3 + 14x2 + 12x + 15 | 4 | 27 | 85 | 8748 | y2 + 11xy + 10y = x3 + 15x2 + 1 | 4 | 6 | 86 | 8748 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 11 | 4 | 15 | 87 | 8748 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 17 | 4 | 15 | 88 | 8748 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 3 | 4 | 6 | 89 | 8748 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 5 | 4 | 15 | 90 | 8748 | y2 + 11xy + 10y = x3 + 15x2 + 10x + 9 | 4 | 6 |
|---|