# Properties

 Label 2.4.af_o Base Field $\F_{2^2}$ Dimension $2$ $p$-rank $1$ Principally polarizable Does not contain a Jacobian

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## Invariants

 Base field: $\F_{2^2}$ Dimension: $2$ Weil polynomial: $( 1 - 3 x + 4 x^{2} )( 1 - 2 x + 4 x^{2} )$ Frobenius angles: $\pm0.230053456163$, $\pm0.333333333333$ Angle rank: $1$ (numerical)

## Newton polygon

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

## 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 $A(\F_{q^r})$ 6 336 5994 78624 1074426 16447536 264956586 4282334784 68725531674 1099326896976

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 0 20 90 304 1050 4016 16170 65344 262170 1048400

## Decomposition

1.4.ad $\times$ 1.4.ac

## Base change

This is a primitive isogeny class.