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Weierstrass p function

\begin{align*} \wp\left(z, \omega_{1}, \omega_{2}\right):=\wp(z, \Lambda):=\frac{1}{z^{2}}+\sum_{\lambda \in \Lambda \backslash\{0\}}\left(\frac{1}{(z-\lambda)^{2}}-\frac{1}{\lambda^{2}}\right) .\end{align*}

An entire elliptic function thatt satisfies the following differential equation, which has a solution by Liouville’s theorem: \begin{align*} \wp^{\prime 2}(z)=4 \wp^{3}(z)-g_{2} \wp(z)-g_{3}, \qquad g_2 = 60G_4, g_3 = 140 G_6 \end{align*}