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Abelian Varity Isogeny Classes: Dynamic Statistics
Introduction and more
Introduction
Features
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L-functions
Degree:
1
2
3
4
$\zeta$ zeros
Modular Forms
GL(2)
Classical
Maass
Hilbert
Bianchi
Varieties
Curves
Elliptic:
$/\Q$
/NumberFields
Genus 2:
$/\Q$
Higher genus:
Families
Abelian Varieties:
$/\F_{q}$
Fields
Number fields:
Global
Local
Representations
Dirichlet Characters
Artin
Groups
Galois groups
Sato-Tate groups
Knowledge
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Learn more about
Completeness of the data
Source of the data
Reliability of the data
Labels
Constraints
Advanced search options
Base field
Base char.
Dimension
$p$-rank
Initial coefficients
Slopes
Points on variety
Points on curve
Simple factors
include
subset
exactly
Angle rank
# Jacobians
# Hyp. Jacobians
# twists
Max twist degree
End.
degree
$p$-rank deficit
Simple
Geom. simple
Primitive
Princ polarizable
Jacobian
yes
unrestricted
no
yes
unrestricted
no
yes
unrestricted
no
yes
yes or unknown
unrestricted
no or unknown
no
unknown
yes
yes or unknown
unrestricted
no or unknown
no
unknown
Use
Geometric decomposition
in the following inputs
Dim 1 factors
Dim 2 factors
Dim 3 factors
Dim 4 factors
Dim 5 factors
(distinct)
(distinct)
(distinct)
Number field
Galois group
Variables
Buckets
Totals
Proportions
None
q
g
p rank
angle rank
size
End. degree
# Jacobians
# Hyp. curves
# twists
max twist degree
simple
geom. simple
primitive
Jacobian
princ. polarizable
# Jacobians
# Hyp. curves
Vs unconstrained
By rows
By columns
None
None
q
g
p rank
angle rank
size
End. degree
# Jacobians
# Hyp. curves
# twists
max twist degree
simple
geom. simple
primitive
Jacobian
princ. polarizable
# Jacobians
# Hyp. curves
Generate statistics
Note that the abelian varieties in the database may not be
representative
.