Invariants
Base field: | |
Dimension: | |
L-polynomial: | |
Frobenius angles: | , |
Angle rank: | (numerical) |
Number field: | |
Galois group: | |
Jacobians: | |
Isomorphism classes: | 1 |
This isogeny class is simple but not geometrically 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 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 . |
The base change of to is 1.64.l 2 and its endomorphism algebra is |
- Endomorphism algebra over
The base change of to is the simple isogeny class 2.4.b_ad and its endomorphism algebra is . - Endomorphism algebra over
The base change of to is the simple isogeny class 2.8.a_l and its endomorphism algebra is .
Base change
This is a primitive isogeny class.