Defining parameters
Level: | \( N \) | \(=\) | \( 6498 = 2 \cdot 3^{2} \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6498.bn (of order \(57\) and degree \(36\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3249 \) |
Character field: | \(\Q(\zeta_{57})\) | ||
Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6498, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 41184 | 13680 | 27504 |
Cusp forms | 40896 | 13680 | 27216 |
Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(6498, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6498, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6498, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3249, [\chi])\)\(^{\oplus 2}\)