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

\( N\) is the level;

\(k\) 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 \(N.k.a.x.n.i\), 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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 Last edited by Andrew Sutherland on 20190920 13:35:05
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(expand/hide all)
 cmf.minimal_twist
 cmf.search_input
 cmf.twist_minimal
 lmfdb/classical_modular_forms/main.py (line 1133)
 lmfdb/classical_modular_forms/templates/cmf_full_gamma1_space.html (line 142)
 lmfdb/classical_modular_forms/templates/cmf_newform_list.html (line 10)
 lmfdb/classical_modular_forms/templates/cmf_space_list.html (line 7)
 lmfdb/classical_modular_forms/templates/cmf_trace_display.html (line 5)
 20190920 13:35:05 by Andrew Sutherland (Reviewed)
 20190405 10:55:36 by Andrew Sutherland (Reviewed)
 20190301 10:32:37 by Andrew Sutherland