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Abelian variety isogeny classes: Dynamic statistics
Introduction
Overview
Features
Universe
Knowledge
L-functions
Degree 1
Degree 2
Degree 3
Degree 4
$\zeta$ zeros
Modular forms
Classical
Maass
Hilbert
Bianchi
Varieties
Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Fields
Number fields
$p$-adic fields
Representations
Dirichlet characters
Artin representations
Groups
Galois groups
Sato-Tate groups
↑
Learn more about
Completeness of the data
Source of the data
Reliability of the data
Labeling convention
Constraints
Advanced search options
Base field
Base char.
Dimension
$p$-rank
Initial coefficients
Slopes
Points on variety
Points on curve
Simple factors
include
exclude
exactly
subset
Angle rank
# Jacobians
# Hyp. Jacobians
# twists
Max twist degree
End.
degree
$p$-rank deficit
Simple
Geom. simple
Primitive
Princ polarizable
Jacobian
yes
no
yes
no
yes
no
yes
yes or unknown
no or unknown
no
unknown
yes
yes or unknown
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
.