Defining parameters
Level: | \( N \) | \(=\) | \( 6336 = 2^{6} \cdot 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6336.fd (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1584 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6336, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 18688 | 4672 | 14016 |
Cusp forms | 18176 | 4544 | 13632 |
Eisenstein series | 512 | 128 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(6336, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6336, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6336, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1584, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3168, [\chi])\)\(^{\oplus 2}\)