Properties

 Label 3.2.ac_e_ae Base Field $\F_{2}$ Dimension $3$ $p$-rank $0$

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Invariants

 Base field: $\F_{2}$ Dimension: $3$ Weil polynomial: $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )$ Frobenius angles: $\pm0.25$, $\pm0.333333333333$, $\pm0.666666666667$ Angle rank: $0$ (numerical)

Newton polygon

This isogeny class is supersingular.

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

Point counts

 $r$ 1 2 3 4 5 6 7 8 9 10 $A(\F_{q^r})$ 7 245 637 11025 43337 156065 1865969 16769025 125599201 1145180225

 $r$ 1 2 3 4 5 6 7 8 9 10 $C(\F_{q^r})$ 1 9 13 33 41 33 113 257 481 1089

Decomposition

1.2.ac $\times$ 2.2.a_c

Base change

This is a primitive isogeny class.