Properties

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

Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ Frobenius angles: $\pm0.174442860055$, $\pm0.384973271919$, $\pm0.546783656212$ 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 $A(\F_{q^r})$ 4 224 868 3584 38764 340256 2278532 18837504 145132204 979023584

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 0 10 12 14 40 82 140 286 552 930

Decomposition

1.2.ab $\times$ 2.2.ac_d

Base change

This is a primitive isogeny class.