Defining parameters
| Level: | \( N \) | \(=\) | \( 2450 = 2 \cdot 5^{2} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2450.bd (of order \(35\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1225 \) |
| Character field: | \(\Q(\zeta_{35})\) | ||
| Sturm bound: | \(840\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2450, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10176 | 3360 | 6816 |
| Cusp forms | 9984 | 3360 | 6624 |
| Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2450, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2450, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2450, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1225, [\chi])\)\(^{\oplus 2}\)