# Properties

 Label 2.2.ac_f Base Field $\F_{2}$ Dimension $2$ $p$-rank $2$ Principally polarizable Does not contain a Jacobian

## Invariants

 Base field: $\F_{2}$ Dimension: $2$ Weil polynomial: $( 1 - x + 2 x^{2} )^{2}$ Frobenius angles: $\pm0.384973271919$, $\pm0.384973271919$ 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 $A(\F_{q^r})$ 4 64 196 256 484 3136 20164 82944 268324 937024

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 1 11 19 15 11 47 155 319 523 911

1.2.ab 2

## Base change

This is a primitive isogeny class.