# Properties

 Label 3.2.ad_g_ak Base Field $\F_{2}$ Dimension $3$ $p$-rank $1$

## Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ Frobenius angles: $\pm0.0833333333333$, $\pm0.384973271919$, $\pm0.583333333333$ Angle rank: $1$ (numerical)

## Newton polygon

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

## Point counts

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 2 104 350 2704 29062 236600 2051758 21464352 153858950 1014031304

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 0 8 6 8 30 56 126 320 582 968

## Decomposition

1.2.ab $\times$ 2.2.ac_c

## Base change

This is a primitive isogeny class.