`qfb_prime_form`

Synopsis#include <flint/qfb.h>

void qfb_prime_form(qfb_t r, fmpz_t D, fmpz_t p)source

Sets $r$ to a form $(p, b, c)$ of discriminant $D$ with $0 \le b \le p$ , for a prime $p$ such that $D$ is a square modulo $4p$ (that is, $p$ splits or ramifies). The result is not specified otherwise. If $p^2 \mid D$ the form may be imprimitive.

Guides#

Computing in the class group

Cite this page

The FLINT team, “qfb_prime_form (qfb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/qfb/qfb_prime_form.html (generated 2026-11-02).

@misc{flint-doc-qfb-qfb-prime-form,
  author       = {{The FLINT team}},
  title        = {{qfb\_prime\_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_prime_form.html},
  note         = {Generated 2026-11-02}
}

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