computation of class numbers Flashcards

1
Q

Minkowski bound

A

imaginary 2/π sqrt(Δ_K)
real 1/2 sqrt(Δ_Κ)

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2
Q

2 rules

A

d=2,3 mod 4, ramified
d=1 mod 8, split
d=5 mod 8, inert

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3
Q

p rules

A

p|d, ramified
quadratic residue, split
quadratic non-residue, inert

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