`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 2026-10-20).

@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 2026-10-20}
}

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