Solution
= Solution
A pole occurs exactly when $2z\in\Lambda$. Thus the poles on $T$ are
$$
\boxed{[0],\ [\omega_1/2],\ [\omega_2/2],\ [(ω_1+ω_2)/2].}
$$
Each is a double pole, since the multiplication-by-two map is locally unramified and $\wp$ has a double pole at $[0]$. There are \b[four distinct poles, each of order two], consistent with the degree eight.