Defining parameters
| Level: | \( N \) | \(=\) | \( 3751 = 11^{2} \cdot 31 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3751.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 341 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(704\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3751, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 364 | 296 | 68 |
| Cusp forms | 340 | 280 | 60 |
| Eisenstein series | 24 | 16 | 8 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3751, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3751, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3751, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(341, [\chi])\)\(^{\oplus 2}\)