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The label of a newform $f\in S_k^{\rm new}(N,\chi)$ has the format \( N.k.a.x \), where

For each embedding of the coefficient field of $f$ into the complex numbers, the corresponding modular form over $\C$ has a label of the form \(N.k.a.x.n.i\), where

  • \(n\) determines the Conrey label \(N.n\) of the Dirichlet character \(\chi\);

  • \(i\) is an integer ranging from 1 to the relative dimension of the newform that distinguishes embeddings with the same character $\chi$.

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  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2019-04-05 10:55:36
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