Defining parameters
Level: | \( N \) | \(=\) | \( 8450 = 2 \cdot 5^{2} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8450.ck (of order \(156\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 845 \) |
Character field: | \(\Q(\zeta_{156})\) | ||
Sturm bound: | \(2730\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8450, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 66096 | 13104 | 52992 |
Cusp forms | 64944 | 13104 | 51840 |
Eisenstein series | 1152 | 0 | 1152 |
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
\( S_{2}^{\mathrm{old}}(8450, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1690, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4225, [\chi])\)\(^{\oplus 2}\)