# Properties

 Label 3.2.ac_b_c Base Field $\F_{2}$ Dimension $3$ Ordinary No $p$-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: $\pm0.209784688372$, $\pm0.25$, $\pm0.790215311628$ 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 $A(\F_{q^r})$ 4 80 988 14400 39524 375440 1879868 12960000 125716084 952528400

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 1 3 13 39 41 87 113 191 481 903

## Decomposition

1.2.ac $\times$ 2.2.a_ab

## Base change

This is a primitive isogeny class.