# Properties

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

## Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 - 2 x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ Frobenius angles: $\pm0.197201053961$, $\pm0.25$, $\pm0.652365995579$ Angle rank: $2$ (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 $A(\F_{q^r})$ 3 135 468 11475 73923 252720 2074341 15801075 108519372 1014593175

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 0 6 9 34 60 63 126 242 405 966

## Decomposition

1.2.ac $\times$ 2.2.ab_b

## Base change

This is a primitive isogeny class.