Weierstrass's Elliptic Function is Even in z

Theorem
For $z \in \C \setminus \left\{2m \omega_1 + 2n\omega_2: \left({n,m}\right) \in \Z^2\right\}$:


 * $\displaystyle \wp\left({-z; \omega_1, \omega_2}\right) = \wp\left({z; \omega_1, \omega_2}\right)$

where $\omega_1$ and $\omega_2$ are non-zero constants with $\dfrac {\omega_1} {\omega_2}$ having a positive imaginary part.

That is, Weierstrass's elliptic function is even in $z$.