# Properties

 Label 3.7.ae_v_abz Base Field $\F_{7}$ Dimension $3$ $p$-rank $3$

## Invariants

 Base field: $\F_{7}$ Dimension: $3$ Weil polynomial: $(1+x+7x^{2})(1-5x+19x^{2}-35x^{3}+49x^{4})$ Frobenius angles: $\pm0.26035043379$, $\pm0.415892662795$, $\pm0.560518859162$ Angle rank: $3$ (numerical)

## Newton polygon

This isogeny class is ordinary.

 $p$-rank: $3$ Slopes: $[0, 0, 0, 1, 1, 1]$

## Point counts

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 261 199143 44715564 13712389551 4778766099216 1630429805165616 557488718919809091 191501575080146996175 65708754933069306113292 22536972343702780177552128

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 4 76 379 2380 16919 117793 821986 5762404 40351393 282445571

## Decomposition

1.7.b $\times$ 2.7.af_t

## Base change

This is a primitive isogeny class.