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The label of a newform $f\in S_{\underline{k}}^{\rm new}(\Gamma_F(N),\chi)$ has the format \( g.F.N.k1...kd.a.x \), 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 \(g.F.N.k1...kd.a.x.n.i\), 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 $\chi$.

Knowl status:
  • Review status: beta
  • Last edited by John Voight on 2022-08-25 17:47:20
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Not referenced anywhere at the moment.

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