Defining parameters
Level: | \( N \) | \(=\) | \( 9408 = 2^{6} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9408.dg (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 672 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(3584\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9408, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 14592 | 0 | 14592 |
Cusp forms | 14080 | 0 | 14080 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{old}}(9408, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9408, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1344, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4704, [\chi])\)\(^{\oplus 2}\)