Defining parameters
| Level: | \( N \) | \(=\) | \( 8450 = 2 \cdot 5^{2} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8450.q (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 25 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(2730\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8450, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5576 | 1552 | 4024 |
| Cusp forms | 5352 | 1552 | 3800 |
| Eisenstein series | 224 | 0 | 224 |
Decomposition of \(S_{2}^{\mathrm{new}}(8450, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8450, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8450, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(50, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(325, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(650, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4225, [\chi])\)\(^{\oplus 2}\)