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Results tagged with modular-curves
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user 140562
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votes
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answer
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When is the conductor of an elliptic modular curve equal to its level?
Suppose the usual modular curve $E=X_0(N)$ over $\mathbb{Q}$ has genus 1 (e.g. $N=15$). Define the conductor of $E/\mathbb{Q}$ as the ideal/integer:
$$M=\prod_{p}p^{f(E/\mathbb{Q}_p)},$$
where
$$f( …
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