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Bonbon
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What do we know about the ramification of the modularity map $X_0(N)\to E$?

Let $E$ be an elliptic curve over $\mathbb{Q}$, and let $N$ be its conductor. By the modularity of elliptic curves over $\mathbb{Q}$, there exists a surjective map $f:X_0(N)\to E$, where $X_0(N)$ is the modular curve.

I want to know about the ramification of this map, is there any results or examples or references?

Bonbon
  • 806
  • 4
  • 14