acb_elliptic_p
Synopsis
#include <flint/acb_elliptic.h>Sets r to the Weierstrass elliptic function \wp(z, \tau) = z^{-2} + \sum_{\omega \in \Lambda \setminus 0} ((z + \omega)^{-2} - \omega^{-2}), computed by
\wp(z, \tau) = \pi^2 \theta_2^2(0,\tau) \theta_3^2(0,\tau)
\frac{\theta_4^2(z,\tau)}{\theta_1^2(z,\tau)} -
\frac{\pi^2}{3} \left[ \theta_2^4(0,\tau) + \theta_3^4(0,\tau)\right].
Cite this page
The FLINT team, “acb_elliptic_p (acb_elliptic.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_elliptic/acb_elliptic_p.html (generated 2026-10-20).
@misc{flint-doc-acb-elliptic-acb-elliptic-p,
author = {{The FLINT team}},
title = {{acb\_elliptic\_p (acb\_elliptic.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_elliptic/acb_elliptic_p.html},
note = {Generated 2026-10-20}
}