Defining parameters
Level: | \( N \) | \(=\) | \( 5850 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5850.hg (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 975 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(2520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5850, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 20416 | 2240 | 18176 |
Cusp forms | 19904 | 2240 | 17664 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(5850, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5850, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5850, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(975, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1950, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2925, [\chi])\)\(^{\oplus 2}\)