Properties

 Label 2.8.ac_b Base Field $\F_{2^3}$ Dimension $2$ $p$-rank $2$ Principally polarizable Contains a Jacobian

Invariants

 Base field: $\F_{2^3}$ Dimension: $2$ Weil polynomial: $( 1 - 5 x + 8 x^{2} )( 1 + 3 x + 8 x^{2} )$ Frobenius angles: $\pm0.154919815756$, $\pm0.677932000632$ 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 $A(\F_{q^r})$ 48 4032 237744 17305344 1086883248 68718476736 4408152043056 281608132377600 18012459165485616 1152964797368674752

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 7 63 463 4223 33167 262143 2101967 16785151 134203279 1073782143

Decomposition

1.8.af $\times$ 1.8.d

Base change

This is a primitive isogeny class.