Defining parameters
Level: | \( N \) | \(=\) | \( 4998 = 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4998.cq (of order \(112\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2499 \) |
Character field: | \(\Q(\zeta_{112})\) | ||
Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4998, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 48768 | 16128 | 32640 |
Cusp forms | 48000 | 16128 | 31872 |
Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(4998, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4998, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4998, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2499, [\chi])\)\(^{\oplus 2}\)