# Properties

 Label 5.2.ah_bc_acy_ga_ajo Base Field $\F_{2}$ Dimension $5$ $p$-rank $1$ Does not contain a Jacobian

## Invariants

 Base field: $\F_{2}$ Dimension: $5$ Weil polynomial: $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ Frobenius angles: $\pm0.25$, $\pm0.25$, $\pm0.25$, $\pm0.384973271919$, $\pm0.5$ Angle rank: $1$ (numerical)

## Newton polygon

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

## 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 $A(\F_{q^r})$ 6 9000 276822 2250000 50036646 1245699000 26430987246 738112500000 29572112791494 1135206406125000

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ -4 12 26 32 46 72 94 160 422 1032

## Decomposition

1.2.ac 3 $\times$ 1.2.ab $\times$ 1.2.a

## Base change

This is a primitive isogeny class.