Defining parameters
Level: | \( N \) | \(=\) | \( 9072 = 2^{4} \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9072.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 28 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(3456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9072, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1800 | 192 | 1608 |
Cusp forms | 1656 | 192 | 1464 |
Eisenstein series | 144 | 0 | 144 |
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
\( S_{2}^{\mathrm{old}}(9072, [\chi]) \cong \)