FLINT3.7.0-dev

WeierstrassP, WeierstrassZeta, WeierstrassSigma, EllipticRootE

Synopsis#include <flint/fexpr_builtin.h>
WeierstrassP
WeierstrassZeta
WeierstrassSigma
EllipticRootE

The Weierstrass elliptic functions for the lattice with periods 1 and τ\tau, WeierstrassP(z, tau) (℘(z,τ)\wp(z, \tau)), WeierstrassZeta(z, tau) (ζ(z,τ)\zeta(z, \tau)) and WeierstrassSigma(z, tau) (σ(z,τ)\sigma(z, \tau)), and the roots EllipticRootE(j, tau) (ej ⁣(τ)e_{j}\!\left(\tau\right)) of the cubic polynomial associated with ℘\wp.

Cite this page

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