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Reduced positive definite binary quadratic form

A positive definite integral form

[a, b, c]

is reduced when

∣ b ∣ \leq a \leq c

, with

b \geq 0

if

∣ b ∣ = a

or

a = c

. Every proper equivalence class has a unique reduced representative under this boundary convention.

Table of contents 233 5
- Enumeration of reduced binary quadratic forms Reduced positive definite binary quadratic form 41
- Class number of a negative discriminant Reduced positive definite binary quadratic form 159 3
  - Two distinguished classes of discriminant minus eight q Class number of a negative discriminant 63 1
    - Prime representation when h of minus eight q equals two Two distinguished classes of discriminant minus eight q 28
  - Coprime-factorization lower bound for a quadratic-form class number Class number of a negative discriminant 52

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