# Properties

 Label 5.2.ag_o_ai_abg_dc Base Field $\F_{2}$ Dimension $5$ $p$-rank $0$ Principally polarizable Does not contain a Jacobian

## Invariants

 Base field: $\F_{2}$ Dimension: $5$ Weil polynomial: $( 1 - 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} )^{3}$ Frobenius angles: $0.0$, $0.0$, $\pm0.25$, $\pm0.25$, $\pm0.25$, $1.0$, $1.0$ Angle rank: $0$ (numerical)

## Newton polygon

This isogeny class is supersingular.

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

## Point counts

This isogeny class is principally polarizable, but does not contain a Jacobian.

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 1 125 107653 1265625 66233081 659374625 23272485713 576650390625 29058756742561 994531106890625

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ -3 -3 21 25 57 33 81 97 417 897

## Decomposition

1.2.ac 3 $\times$ 2.2.a_ae

## Base change

This is a primitive isogeny class.