# Properties

 Label 3.2.ab_ac_e Base Field $\F_{2}$ Dimension $3$ $p$-rank $1$ Principally polarizable

## Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} )^{2}$ Frobenius angles: $0.0$, $0.0$, $\pm0.384973271919$, $1.0$, $1.0$ Angle rank: $1$ (numerical)

## Newton polygon

 $p$-rank: $1$ Slopes: $[0, 1/2, 1/2, 1/2, 1/2, 1]$

## Point counts

This isogeny class is principally polarizable, but it is unknown whether it contains a Jacobian.

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 2 8 686 1296 21142 134456 2290318 14580000 135260678 893968328

 $r$ 1 2 3 4 5 6 7 8 9 $C(\F_{q^r})$ 2 14 22 24 142 224 518 840 1982

## Decomposition

1.2.ab $\times$ 2.2.a_ae

## Base change

This is a primitive isogeny class.