Properties

 Label 3.2.ac_e_ah Base Field $\F_{2}$ Dimension $3$ $p$-rank $3$

Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ Frobenius angles: $\pm0.123548644961$, $\pm0.456881978294$, $\pm0.615026728081$ Angle rank: $2$ (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 $A(\F_{q^r})$ 4 152 304 2736 42284 323456 2557916 20142432 132772912 1078157432

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 1 9 4 9 41 78 155 305 508 1029

Decomposition

1.2.b $\times$ 2.2.ad_f

Base change

This is a primitive isogeny class.