Defining parameters
| Level: | \( N \) | \(=\) | \( 1900 = 2^{2} \cdot 5^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1900.co (of order \(90\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 475 \) |
| Character field: | \(\Q(\zeta_{90})\) | ||
| Sturm bound: | \(600\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1900, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 7344 | 1200 | 6144 |
| Cusp forms | 7056 | 1200 | 5856 |
| Eisenstein series | 288 | 0 | 288 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1900, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1900, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1900, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(950, [\chi])\)\(^{\oplus 2}\)