Defining parameters
| Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 475.n (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 25 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(200\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(475, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 608 | 544 | 64 |
| Cusp forms | 592 | 544 | 48 |
| Eisenstein series | 16 | 0 | 16 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(475, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(475, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(475, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 2}\)