# Properties

 Label 3.2.ac_h_ai Base Field $\F_{2}$ Dimension $3$ $p$-rank $2$ Does not contain a Jacobian

## Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}$ Frobenius angles: $\pm0.384973271919$, $\pm0.384973271919$, $\pm0.5$ Angle rank: $1$ (numerical)

## Newton polygon

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

## Point counts

This isogeny class does not contain a Jacobian, and it is unknown whether it is principally polarizable.

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 12 576 1764 2304 15972 254016 2601156 18662400 137650212 1020419136

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 1 15 19 7 11 63 155 287 523 975

## Decomposition

1.2.ab 2 $\times$ 1.2.a

## Base change

This is a primitive isogeny class.