Defining parameters
Level: | \( N \) | \(=\) | \( 2004 = 2^{2} \cdot 3 \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2004.j (of order \(166\) and degree \(82\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 501 \) |
Character field: | \(\Q(\zeta_{166})\) | ||
Sturm bound: | \(672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2004, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 28044 | 4592 | 23452 |
Cusp forms | 27060 | 4592 | 22468 |
Eisenstein series | 984 | 0 | 984 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2004, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2004, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2004, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(501, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1002, [\chi])\)\(^{\oplus 2}\)