# Properties

 Label 3.2.ac_c_ad Base Field $\F_{2}$ Dimension $3$ $p$-rank $3$

## Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ Frobenius angles: $\pm0.0516399385854$, $\pm0.384973271919$, $\pm0.718306605252$ Angle rank: $1$ (numerical)

## Newton polygon

This isogeny class is ordinary.

 $p$-rank: $3$ Slopes: $[0, 0, 0, 1, 1, 1]$

## Point counts

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 2 56 224 4144 16522 175616 2570626 16783200 133677152 1073731736

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 1 5 4 17 11 38 155 257 508 1025

## Decomposition

1.2.ab $\times$ 2.2.ab_ab

## Base change

This is a primitive isogeny class.