# Properties

 Label 2.4.a_ai Base Field $\F_{2^2}$ Dimension $2$ $p$-rank $0$ Principally polarizable Does not contain a Jacobian

## Invariants

 Base field: $\F_{2^2}$ Dimension: $2$ Weil polynomial: $( 1 - 2 x )^{2}( 1 + 2 x )^{2}$ Frobenius angles: $0.0$, $0.0$, $1.0$, $1.0$ 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 3969 50625 1046529 15752961 268402689 4228250625 68718952449 1095222947841

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 5 1 65 193 1025 3841 16385 64513 262145 1044481

## Decomposition

1.4.ae $\times$ 1.4.e

## Base change

This is a primitive isogeny class.