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Maass
Hilbert
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Varieties
Elliptic curves over
Q
\Q
Q
Elliptic curves over
Q
(
α
)
\Q(\alpha)
Q
(
α
)
Genus 2 curves over
Q
\Q
Q
Higher genus families
Abelian varieties over
F
q
\F_{q}
F
q
Belyi maps
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p
p
p
-adic fields
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Quadratic imaginary class groups
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Degree
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Ramified prime count
Ramified
include
exactly
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Unramified primes
Galois group
Field is
Intermediate field
Class group structure
Class number
cyclic
abelian
multi-quadratic
dihedral non-Galois
dihedral Galois
Galois
solvable
nonsolvable
Discriminant
Root discriminant
Galois root discriminant
Narrow class group
Narrow class number
CM field
Relative class number
Regulator
p
p
p
-adic completions
Monogenic
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yes
yes or unknown
no or unknown
no
unknown
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