Defining parameters
Level: | \( N \) | \(=\) | \( 8880 = 2^{4} \cdot 3 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8880.bl (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1776 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(3648\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8880, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3664 | 2432 | 1232 |
Cusp forms | 3632 | 2432 | 1200 |
Eisenstein series | 32 | 0 | 32 |
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
\( S_{2}^{\mathrm{old}}(8880, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1776, [\chi])\)\(^{\oplus 2}\)