Invariants
Base field: | |
Dimension: | |
L-polynomial: | |
Frobenius angles: | |
Angle rank: | (numerical) |
Number field: | |
Galois group: | |
Jacobians: | |
Isomorphism classes: | 1 |
This isogeny class is simple and geometrically simple, not 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 Jacobian of 1 curve (which is hyperelliptic):
Decomposition and endomorphism algebra
All geometric endomorphisms are defined over .
Endomorphism algebra overThe endomorphism algebra of this simple isogeny class is . |
Base change
This isogeny class is not primitive. It is a base change from the following isogeny classes over subfields of .
Subfield | Primitive Model |
1.3.ab | |
1.3.b |
Twists
Below is a list of all twists of this isogeny class.
Twist | Extension degree | Common base change |
---|---|---|
1.9.af | 1.81.ah |