# Properties

 Label 2.7.ak_bn Base Field $\F_{7}$ Dimension $2$ $p$-rank $2$ Principally polarizable Does not contain a Jacobian

## Invariants

 Base field: $\F_{7}$ Dimension: $2$ Weil polynomial: $( 1 - 5 x + 7 x^{2} )^{2}$ Frobenius angles: $\pm0.106147807505$, $\pm0.106147807505$ Angle rank: $1$ (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 $A(\F_{q^r})$ 9 1521 104976 5659641 283349889 13908900096 680293390401 33282226355625 1629429133651344 79810905102881121

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ -2 28 304 2356 16858 118222 826054 5773348 40378768 282541228

1.7.af 2

## Base change

This is a primitive isogeny class.