Defining parameters
Level: | \( N \) | \(=\) | \( 5950 = 2 \cdot 5^{2} \cdot 7 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5950.dc (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 595 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5950, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8832 | 1728 | 7104 |
Cusp forms | 8448 | 1728 | 6720 |
Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(5950, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5950, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5950, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(595, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1190, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2975, [\chi])\)\(^{\oplus 2}\)