`qfb_principal_form`

Synopsis#include <flint/qfb.h>

void qfb_principal_form(qfb_t f, fmpz_t D)source

Sets f to the principal form of discriminant D, (1, 0, -D/4) for D \equiv 0 \pmod 4 and (1, 1, (1 - D)/4) for D \equiv 1 \pmod 4.

Guides#

Computing in the class group

Cite this page

The FLINT team, “qfb_principal_form (qfb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/qfb/qfb_principal_form.html (generated 2026-10-20).

@misc{flint-doc-qfb-qfb-principal-form,
  author       = {{The FLINT team}},
  title        = {{qfb\_principal\_form (qfb.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/qfb/qfb_principal_form.html},
  note         = {Generated 2026-10-20}
}

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