Defining parameters
Level: | \( N \) | \(=\) | \( 4032 = 2^{6} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4032.gz (of order \(48\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1344 \) |
Character field: | \(\Q(\zeta_{48})\) | ||
Sturm bound: | \(1536\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4032, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 12416 | 4096 | 8320 |
Cusp forms | 12160 | 4096 | 8064 |
Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(4032, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4032, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4032, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1344, [\chi])\)\(^{\oplus 2}\)