Properties

 Label 2.9.al_bw Base Field $\F_{3^2}$ Dimension $2$ $p$-rank $1$ Principally polarizable Does not contain a Jacobian

Invariants

 Base field: $\F_{3^2}$ Dimension: $2$ Weil polynomial: $( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )$ Frobenius angles: $0.0$, $0.0$, $\pm0.186429498677$ Angle rank: $1$ (numerical)

Newton polygon

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

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 $A(\F_{q^r})$ 20 4800 500240 42720000 3486022100 282375475200 22867899479060 1852470606720000 150071300232772880 12156878772998520000

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ -1 57 686 6513 59039 531342 4781111 43033953 387360254 3486558777

Decomposition

1.9.ag $\times$ 1.9.af

Base change

This is a primitive isogeny class.