Defining parameters
| Level: | \( N \) | \(=\) | \( 3712 = 2^{7} \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3712.m (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 464 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3712, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 992 | 248 | 744 |
| Cusp forms | 928 | 232 | 696 |
| Eisenstein series | 64 | 16 | 48 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3712, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3712, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3712, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(464, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1856, [\chi])\)\(^{\oplus 2}\)