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

\( g \) is the degree;

\( F \) is the family;

\( N \) is the level;

\( \underline{k}=(k_1,\dots,k_d) \) is the weight;

\(N.a\) is the label of the Galois orbit of the Dirichlet character $\chi$;

\(x\) is the label of the Galois orbit of the newform $f$.
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 $\chi$.
 Review status: beta
 Last edited by John Voight on 20220825 17:47:20
Not referenced anywhere at the moment.
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