Defining parameters
Level: | \( N \) | \(=\) | \( 9464 = 2^{3} \cdot 7 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9464.dp (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 728 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(2912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9464, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 5936 | 5008 | 928 |
Cusp forms | 5712 | 4848 | 864 |
Eisenstein series | 224 | 160 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(9464, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9464, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9464, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 2}\)