| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 4116 | y2 + 10xy + 11y = x3 | 4 | 22 | 2 | 4116 | y2 + 10xy + 11y = x3 + 1 | 4 | 16 | 3 | 4116 | y2 + 10xy + 11y = x3 + 10 | 4 | 18 | 4 | 4116 | y2 + 10xy + 11y = x3 + 10x + 1 | 4 | 12 | 5 | 4116 | y2 + 10xy + 11y = x3 + 10x + 10 | 4 | 14 | 6 | 4116 | y2 + 10xy + 11y = x3 + 10x + 13 | 4 | 10 | 7 | 4116 | y2 + 10xy + 11y = x3 + 10x + 2 | 4 | 6 | 8 | 4116 | y2 + 10xy + 11y = x3 + 10x2 + 10x | 4 | 18 | 9 | 4116 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 10 | 4 | 14 | 10 | 4116 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 11 | 4 | 8 | 11 | 4116 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 13 | 4 | 10 | 12 | 4116 | y2 + 10xy + 11y = x3 + 10x2 + 10x + 2 | 4 | 20 | 13 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x | 8 | 36 | 14 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 1 | 8 | 0 | 15 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 10 | 8 | 28 | 16 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 11 | 8 | 0 | 17 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 12 | 8 | 32 | 18 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 13 | 8 | 0 | 19 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 2 | 8 | 12 | 20 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 3 | 8 | 0 | 21 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 4 | 8 | 44 | 22 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 5 | 8 | 0 | 23 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 6 | 8 | 20 | 24 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 7 | 8 | 0 | 25 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 8 | 8 | 24 | 26 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 9 | 8 | 0 | 27 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x | 24 | 8 | 28 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 1 | 24 | 0 | 29 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 11 | 24 | 0 | 30 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 12 | 24 | 32 | 31 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 13 | 24 | 0 | 32 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 2 | 24 | 12 | 33 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 4 | 24 | 44 | 34 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 5 | 24 | 0 | 35 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 6 | 24 | 48 | 36 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 7 | 24 | 0 | 37 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 8 | 24 | 24 | 38 | 686 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 9 | 24 | 0 | 39 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x | 8 | 36 | 40 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 10 | 8 | 28 | 41 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 11 | 8 | 0 | 42 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 13 | 8 | 0 | 43 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 2 | 8 | 40 | 44 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 3 | 8 | 0 | 45 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 4 | 8 | 16 | 46 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 6 | 8 | 20 | 47 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 7 | 8 | 0 | 48 | 2058 | y2 + 10xy + 11y = x3 + 10x2 + 3x + 9 | 8 | 0 | 49 | 1372 | y2 + 10xy + 11y = x3 + 10x2 + 8x | 12 | 4 | 50 | 1372 | y2 + 10xy + 11y = x3 + 10x2 + 8x + 1 | 12 | 12 | 51 | 1372 | y2 + 10xy + 11y = x3 + 10x2 + 8x + 11 | 12 | 22 | 52 | 1372 | y2 + 10xy + 11y = x3 + 10x2 + 8x + 12 | 12 | 16 | 53 | 1372 | y2 + 10xy + 11y = x3 + 10x2 + 8x + 13 | 12 | 24 | 54 | 1372 | y2 + 10xy + 11y = x3 + 10x2 + 8x + 2 | 12 | 6 | 55 | 4116 | y2 + 11xy + 10y = x3 + 1 | 4 | 24 | 56 | 4116 | y2 + 11xy + 10y = x3 + 10x + 1 | 4 | 18 | 57 | 4116 | y2 + 11xy + 10y = x3 + 10x + 11 | 4 | 33 | 58 | 4116 | y2 + 11xy + 10y = x3 + 10x + 13 | 4 | 15 | 59 | 4116 | y2 + 11xy + 10y = x3 + 10x + 3 | 4 | 21 | 60 | 4116 | y2 + 11xy + 10y = x3 + 10x + 7 | 4 | 27 | 61 | 4116 | y2 + 11xy + 10y = x3 + 10x + 9 | 4 | 9 | 62 | 4116 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 11 | 4 | 12 | 63 | 4116 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 13 | 4 | 15 | 64 | 4116 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 3 | 4 | 21 | 65 | 4116 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 7 | 4 | 27 | 66 | 4116 | y2 + 11xy + 10y = x3 + 10x2 + 10x + 9 | 4 | 30 | 67 | 1372 | y2 + 11xy + 10y = x3 + 10x2 + 1x | 12 | 6 | 68 | 1372 | y2 + 11xy + 10y = x3 + 10x2 + 1x + 12 | 12 | 24 | 69 | 1372 | y2 + 11xy + 10y = x3 + 10x2 + 1x + 2 | 12 | 9 | 70 | 1372 | y2 + 11xy + 10y = x3 + 10x2 + 1x + 4 | 12 | 33 | 71 | 1372 | y2 + 11xy + 10y = x3 + 10x2 + 1x + 6 | 12 | 36 | 72 | 1372 | y2 + 11xy + 10y = x3 + 10x2 + 1x + 8 | 12 | 18 | 73 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 1 | 4 | 4 | 74 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 1 | 4 | 7 | 75 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 11 | 4 | 5 | 76 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 5 | 4 | 9 | 77 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 7 | 4 | 10 | 78 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 11x | 4 | 11 | 79 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 11x + 10 | 4 | 9 | 80 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 11x + 12 | 4 | 3 | 81 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 11x + 2 | 4 | 5 | 82 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 11x + 4 | 4 | 6 | 83 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 11x + 6 | 4 | 7 | 84 | 4116 | y2 + 11xy + 10y = x3 + 11x2 + 11x + 8 | 4 | 8 | 85 | 1372 | y2 + 11xy + 10y = x3 + 11x2 + 13x | 12 | 6 | 86 | 1372 | y2 + 11xy + 10y = x3 + 11x2 + 13x + 10 | 12 | 11 | 87 | 1372 | y2 + 11xy + 10y = x3 + 11x2 + 13x + 12 | 12 | 12 | 88 | 1372 | y2 + 11xy + 10y = x3 + 11x2 + 13x + 4 | 12 | 8 | 89 | 1372 | y2 + 11xy + 10y = x3 + 11x2 + 13x + 6 | 12 | 2 | 90 | 1372 | y2 + 11xy + 10y = x3 + 11x2 + 13x + 8 | 12 | 3 |
|---|