Defining parameters
Level: | \( N \) | \(=\) | \( 4950 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4950.cx (of order \(15\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2475 \) |
Character field: | \(\Q(\zeta_{15})\) | ||
Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4950, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8704 | 2880 | 5824 |
Cusp forms | 8576 | 2880 | 5696 |
Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(4950, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4950, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4950, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2475, [\chi])\)\(^{\oplus 2}\)