# Properties

 Label 2.13.ah_bm Base Field $\F_{13}$ Dimension $2$ $p$-rank $2$ Principally polarizable Does not contain a Jacobian

## Invariants

 Base field: $\F_{13}$ Dimension: $2$ Weil polynomial: $( 1 - 4 x + 13 x^{2} )( 1 - 3 x + 13 x^{2} )$ Frobenius angles: $\pm0.312832958189$, $\pm0.363422825076$ Angle rank: $2$ (numerical)

## Newton polygon

This isogeny class is ordinary.

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

## 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 $A(\F_{q^r})$ 110 33660 5239520 823996800 137389054550 23260576584960 3936690829551590 665461638360921600 112458674518542740960 19005016038068177934300

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 7 197 2380 28849 370027 4819034 62737591 815785921 10604807500 137858870957

## Decomposition

1.13.ae $\times$ 1.13.ad

## Base change

This is a primitive isogeny class.