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Results tagged with modular-forms
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user 54339
Questions about modular forms and related areas
5
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2
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Field cut out by a CM modular form is imaginary
Let $f=\sum_{n=1}^\infty a_nq^n$ be a newform of level $N$ and weight $k\ge 2$. Suppose that $f$ is a CM modular form in the sense of §3 of Ribet's paper Galois representations attached to eigenforms …
- 874
5
votes
Accepted
Surjectivity in Deligne-Serre
In the setting that $f$ has integer Hecke eigenvalues, then the result is true, so long as $f$ has weight $k\ge 2$ and does not have complex multiplication. See Theorem 3.1 of this paper by Ribet: in …
- 874