Defining parameters
Level: | \( N \) | \(=\) | \( 9072 = 2^{4} \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9072.en (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1008 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(3456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9072, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 7008 | 3088 | 3920 |
Cusp forms | 6816 | 3056 | 3760 |
Eisenstein series | 192 | 32 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(9072, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9072, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9072, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1008, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3024, [\chi])\)\(^{\oplus 2}\)