Weierstraß ℘-function

The Weierstraß ℘-function is defined

$\wp (z;\Lambda )={\frac {1}{z^{2}}}\sum _{\omega \in \Lambda }^{\omega \neq 0}\left[{\frac {1}{(z-\omega )^{2}}}-{\frac {1}{\omega ^{2}}}\right]$

for $z\in \mathbb {C}$ and a lattice

$\Lambda =\{m\omega _{1}+n\omega _{2}|m,n\in \mathbb {Z} \}$

where $\omega _{1},\omega _{2}\in \mathbb {C} \backslash \{0\}$ and ${\mathfrak {Im}}(\omega _{1}/\omega _{2})>0$.