Fix $\tau = i$. Consider elliptic function with period $1$ and $\tau$.

Fix any two distinct points $p_1,p_2$ in the fundamental domain $\{a+bi \mid a, b\in [0,1)\}$.

1. Can you write a series expression for a function with poles at $p_1, p_2$?

1. Can you use Weierstrass P-function to express this function?

1. Is this function unique?