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Results tagged with elliptic-curves
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user 12644
An elliptic curve is an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry. Note also the tag arithmetic-geometry as well as some related tags such as rational-points, abelian-varieties, heights. Please do not use this tag for questions related to ellipses; instead use conic-sections.
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What do we know about the ramification of the modularity map $X_0(N)\to E$?
The ramification at cusps of $X_0(N)$ is very well understood. For example, if the newform attached to $E$ is twist-minimal Brunault [1] showed that $f$ is unramified at the cusps. This happens for ex …
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