Invariants
Base field: | |
Dimension: | |
L-polynomial: | |
Frobenius angles: | , |
Angle rank: | (numerical) |
Number field: | |
Galois group: | |
Jacobians: | |
Isomorphism classes: | 3 |
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 Jacobians of 2 curves (of which all are 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 1.2401.ade 2 and its endomorphism algebra is |
- Endomorphism algebra over
The base change of to is the simple isogeny class 2.49.a_ade and its endomorphism algebra 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 |
---|---|---|
2.7.g_s | 2.49.a_ade | |
2.7.a_ae | (not in LMFDB) | |
2.7.a_e | (not in LMFDB) |