# Properties

 Label 2.8.ak_bp Base Field $\F_{2^3}$ Dimension $2$ $p$-rank $2$ Principally polarizable Does not contain a Jacobian

## Invariants

 Base field: $\F_{2^3}$ Dimension: $2$ Weil polynomial: $( 1 - 5 x + 8 x^{2} )^{2}$ Frobenius angles: $\pm0.154919815756$, $\pm0.154919815756$ Angle rank: $1$ (numerical)

## Newton polygon

This isogeny class is ordinary.

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

## Point counts

This isogeny class is principally polarizable, but does not contain a Jacobian.

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 16 3136 258064 17172736 1091905936 69244764736 4409781602704 281675802240000 18016426864880656 1152899840893573696

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ -1 47 503 4191 33319 264143 2102743 16789183 134232839 1073721647

1.8.af 2

## Base change

This isogeny class is not primitive. It is a base change from the following isogeny classes over subfields of $\F_{2^3}$.

 Subfield Primitive Model $\F_{2}$ 2.2.ab_ab $\F_{2}$ 2.2.c_f