Nonconstant elliptic function has a pole
= Nonconstant elliptic function has a pole
If an <elliptic function> had no <poles>, it would be <entire function>[entire]. It is bounded on the closure of a <fundamental parallelogram>, and periodicity then makes it bounded on the whole <complex plane>. The <Liouville theorem> would make it constant. Thus every nonconstant elliptic function has a pole.