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Cuspidal Newforms: Dynamic Statistics
Introduction and more
Introduction
Features
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News
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
Classical modular form labels
Constraints
Level
unrestricted
prime
prime power
square
squarefree
Weight
any parity
even
odd
Analytic conductor
\(Nk^2\)
Dim.
absolute
relative
Bad \(p\)
subset of
equal to
superset of
Char.
any parity
even
odd
Primitive character
Character order
Coefficient field
Self-twists
CM/RM discriminant
Inner twist count*
Is self-dual?
Analytic rank
any CM
has CM
no CM
any RM
has RM
no RM
unrestricted
yes
no
Coefficient ring index
Coefficient ring gens.
Only for weight 1:
Projective image
Projective image type
unrestricted
Dn
A4
S4
A5
Variables
Buckets
Totals
Proportions
None
level
weight
abs. dimension
rel. dimension
analytic conductor
character order
character degree
self twist type
inner twists
analytic rank
char parity
projective image
projective image type
artin degree
Vs unconstrained
By rows
By columns
None
None
level
weight
abs. dimension
rel. dimension
analytic conductor
character order
character degree
self twist type
inner twists
analytic rank
char parity
projective image
projective image type
artin degree
Generate statistics
Note that the newforms in the database may not be
representative
.