| class no. | # of curves | class leader | # Aut(E) | # points | 1 | 16384 | y2 + 10xy + 11y = x3 | 2 | 16 | 2 | 16384 | y2 + 10xy + 11y = x3 + 1 | 2 | 16 | 3 | 16384 | y2 + 10xy + 11y = x3 + 10x | 2 | 16 | 4 | 16384 | y2 + 10xy + 11y = x3 + 10x + 1 | 2 | 16 | 5 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 11x | 2 | 32 | 6 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 11x + 1 | 2 | 0 | 7 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 12x | 2 | 16 | 8 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 12x + 1 | 2 | 16 | 9 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 13x | 2 | 32 | 10 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 13x + 1 | 2 | 0 | 11 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 14x | 2 | 16 | 12 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 14x + 1 | 2 | 16 | 13 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 15x | 2 | 32 | 14 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 15x + 1 | 2 | 0 | 15 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 1x | 2 | 32 | 16 | 16384 | y2 + 10xy + 11y = x3 + 10x2 + 1x + 1 | 2 | 0 | 17 | 16384 | y2 + 11xy + 10y = x3 + 1 | 2 | 24 | 18 | 16384 | y2 + 11xy + 10y = x3 + 10x + 11 | 2 | 24 | 19 | 16384 | y2 + 11xy + 10y = x3 + 10x + 13 | 2 | 24 | 20 | 16384 | y2 + 11xy + 10y = x3 + 10x + 15 | 2 | 24 | 21 | 16384 | y2 + 11xy + 10y = x3 + 10x + 3 | 2 | 24 | 22 | 16384 | y2 + 11xy + 10y = x3 + 10x + 5 | 2 | 24 | 23 | 16384 | y2 + 11xy + 10y = x3 + 10x + 7 | 2 | 24 | 24 | 16384 | y2 + 11xy + 10y = x3 + 10x + 9 | 2 | 24 | 25 | 16384 | y2 + 11xy + 10y = x3 + 11x2 + 1 | 2 | 8 | 26 | 16384 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 11 | 2 | 8 | 27 | 16384 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 13 | 2 | 8 | 28 | 16384 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 15 | 2 | 8 | 29 | 16384 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 3 | 2 | 8 | 30 | 16384 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 5 | 2 | 8 | 31 | 16384 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 7 | 2 | 8 | 32 | 16384 | y2 + 11xy + 10y = x3 + 11x2 + 10x + 9 | 2 | 8 |
|---|