# Properties

 Label 2.25.ap_ea Base Field $\F_{5^2}$ Dimension $2$ $p$-rank $2$ Principally polarizable Contains a Jacobian

## Invariants

 Base field: $\F_{5^2}$ Dimension: $2$ Weil polynomial: $( 1 - 9 x + 25 x^{2} )( 1 - 6 x + 25 x^{2} )$ Frobenius angles: $\pm0.143566293129$, $\pm0.295167235301$ Angle rank: $2$ (numerical)

## Newton polygon

This isogeny class is ordinary.

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

## Point counts

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

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 340 380800 246971920 153113587200 95410665939700 59605823308595200 37252923389200408180 23283120527418908620800 14551931318543043402649360 9094949232869223952579120000

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 11 609 15806 391969 9770051 244145454 6103518971 152588258689 3814701483566 95367454868049

## Decomposition

1.25.aj $\times$ 1.25.ag

## Base change

This is a primitive isogeny class.