# Properties

 Label 2.13.ah_ba Base Field $\F_{13}$ Dimension $2$ $p$-rank $1$ Principally polarizable Contains a Jacobian

## Invariants

 Base field: $\F_{13}$ Dimension: $2$ Weil polynomial: $( 1 - 7 x + 13 x^{2} )( 1 + 13 x^{2} )$ Frobenius angles: $\pm0.0772104791556$, $\pm0.5$ Angle rank: $1$ (numerical)

## Newton polygon

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

## Point counts

This isogeny class contains a Jacobian, and hence is principally polarizable.

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 98 28812 4677344 800743104 137700691898 23316859190016 3937502572968986 665386850963116800 112456662227757292256 19005143383543652756652

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 7 173 2128 28033 370867 4830698 62750527 815694241 10604617744 137859794693

## Decomposition

1.13.ah $\times$ 1.13.a

## Base change

This is a primitive isogeny class.