Invariants
Base field: | |
Dimension: | |
L-polynomial: | |
Frobenius angles: | , |
Angle rank: | (numerical) |
Jacobians: | |
Isomorphism classes: | 15 |
This isogeny class is not simple, primitive, ordinary, and not supersingular. It is principally polarizable and contains a Jacobian.
Newton polygon
This isogeny class is ordinary.
-rank: | |
Slopes: |
Point counts
Point counts of the abelian variety
Jacobians and polarizations
This isogeny class is principally polarizable and contains the Jacobians of 3 curves (of which all are hyperelliptic):
Decomposition and endomorphism algebra
All geometric endomorphisms are defined over .
Endomorphism algebra overThe isogeny class factors as 1.9.af 1.9.ac and its endomorphism algebra is a direct product of the endomorphism algebras for each isotypic factor. The endomorphism algebra for each factor is: |
Base change
This is a primitive isogeny class.
Twists
Below is a list of all twists of this isogeny class.
Twist | Extension degree | Common base change |
---|---|---|
2.9.ad_i | 2.81.h_cm | |
2.9.d_i | 2.81.h_cm | |
2.9.h_bc | 2.81.h_cm |