Defining parameters
| Level: | \( N \) | \(=\) | \( 2695 = 5 \cdot 7^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2695.h (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 385 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2695, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 352 | 248 | 104 |
| Cusp forms | 320 | 232 | 88 |
| Eisenstein series | 32 | 16 | 16 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2695, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2695, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2695, [\chi]) \cong \)