Defining parameters
Level: | \( N \) | \(=\) | \( 2205 = 3^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 2205.dk (of order \(42\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 245 \) |
Character field: | \(\Q(\zeta_{42})\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2205, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 12192 | 5064 | 7128 |
Cusp forms | 12000 | 5016 | 6984 |
Eisenstein series | 192 | 48 | 144 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(2205, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(2205, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2205, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 2}\)