# Properties

 Label 2.2.a_e Base Field $\F_{2}$ Dimension $2$ $p$-rank $0$ Principally polarizable Does not contain a Jacobian

## Invariants

 Base field: $\F_{2}$ Dimension: $2$ Weil polynomial: $( 1 + 2 x^{2} )^{2}$ Frobenius angles: $\pm0.5$, $\pm0.5$ Angle rank: $0$ (numerical)

## Newton polygon

This isogeny class is supersingular.

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

## 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 $A(\F_{q^r})$ 9 81 81 81 1089 6561 16641 50625 263169 1185921

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 3 13 9 1 33 97 129 193 513 1153

1.2.a 2

## Base change

This is a primitive isogeny class.