Defining parameters
Level: | \( N \) | \(=\) | \( 6004 = 2^{2} \cdot 19 \cdot 79 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6004.f (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 76 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(1600\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6004, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 804 | 780 | 24 |
Cusp forms | 796 | 780 | 16 |
Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{2}^{\mathrm{new}}(6004, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6004, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6004, [\chi]) \cong \)