Defining parameters
| Level: | \( N \) | \(=\) | \( 5415 = 3 \cdot 5 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5415.c (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5415, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 800 | 340 | 460 |
| Cusp forms | 720 | 340 | 380 |
| Eisenstein series | 80 | 0 | 80 |
Decomposition of \(S_{2}^{\mathrm{new}}(5415, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5415, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5415, [\chi]) \cong \)