Defining parameters
| Level: | \( N \) | \(=\) | \( 1984 = 2^{6} \cdot 31 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1984.bb (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 124 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(512\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1984, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1072 | 264 | 808 |
| Cusp forms | 976 | 248 | 728 |
| Eisenstein series | 96 | 16 | 80 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1984, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1984, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1984, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(124, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(496, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(992, [\chi])\)\(^{\oplus 2}\)