# Properties

 Label 2.25.as_fb 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: $( 1 - 9 x + 25 x^{2} )^{2}$ Frobenius angles: $\pm0.143566293129$, $\pm0.143566293129$ Angle rank: $1$ (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 $A(\F_{q^r})$ 289 354025 242487184 152814537225 95444634758929 59618481027481600 37254810137933828449 23283277296171641606025 14551933338930042823705744 9094947765572086448504175625

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 8 564 15518 391204 9773528 244197294 6103828088 152589286084 3814702013198 95367439482324

1.25.aj 2

## Base change

This isogeny class is not primitive. It is a base change from the following isogeny classes over subfields of $\F_{5^2}$.

 Subfield Primitive Model $\F_{5}$ 2.5.a_aj