Defining parameters
Level: | \( N \) | \(=\) | \( 8880 = 2^{4} \cdot 3 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8880.og (of order \(36\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2960 \) |
Character field: | \(\Q(\zeta_{36})\) | ||
Sturm bound: | \(3648\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8880, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 21984 | 10944 | 11040 |
Cusp forms | 21792 | 10944 | 10848 |
Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(8880, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8880, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8880, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2960, [\chi])\)\(^{\oplus 2}\)