Defining parameters
| Level: | \( N \) | \(=\) | \( 4025 = 5^{2} \cdot 7 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4025.co (of order \(66\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 161 \) |
| Character field: | \(\Q(\zeta_{66})\) | ||
| Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4025, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9840 | 6200 | 3640 |
| Cusp forms | 9360 | 5960 | 3400 |
| Eisenstein series | 480 | 240 | 240 |
Decomposition of \(S_{2}^{\mathrm{new}}(4025, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4025, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(805, [\chi])\)\(^{\oplus 2}\)