# Properties

 Label 3.2.ac_d_ac Base Field $\F_{2}$ Dimension $3$ $p$-rank $2$

## Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 - 2 x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ Frobenius angles: $\pm0.25$, $\pm0.290215311628$, $\pm0.709784688372$ Angle rank: $1$ (numerical)

## Newton polygon

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

## Point counts

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 6 180 702 14400 44526 189540 1823142 12960000 126467406 1208880900

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 1 7 13 39 41 43 113 191 481 1147

## Decomposition

1.2.ac $\times$ 2.2.a_b

## Base change

This is a primitive isogeny class.