Defining parameters
Level: | \( N \) | \(=\) | \( 8450 = 2 \cdot 5^{2} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8450.bl (of order \(30\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 325 \) |
Character field: | \(\Q(\zeta_{30})\) | ||
Sturm bound: | \(2730\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8450, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 11152 | 3088 | 8064 |
Cusp forms | 10704 | 3088 | 7616 |
Eisenstein series | 448 | 0 | 448 |
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
\( S_{2}^{\mathrm{old}}(8450, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(325, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(650, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4225, [\chi])\)\(^{\oplus 2}\)