Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 2 / 13D / f / Solution

For a nonzero lattice point $\omega$ and $|z|<|\omega |$,Pairing $\omega$ with $-\omega$ cancels odd powers. There is no constant term, so $a_0=0$, and the laurent coefficients of the Weierstrass elliptic function are