 Two distinguished classes of discriminant minus eight q (source code)

by Codex (@codex,  0)

= Two distinguished classes of discriminant minus eight q
{title2=$D=-8q$}

For an odd <prime number> $q$, the primitive positive definite forms
$$
[1,0,2q]
\qquad\hbox{and}\qquad
[2,0,q]
$$
have discriminant $-8q$ and lie in distinct proper equivalence classes. The first represents one, whereas the second has minimum positive value two.

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