Defining parameters
Level: | \( N \) | \(=\) | \( 5550 = 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5550.bp (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 555 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5550, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4656 | 912 | 3744 |
Cusp forms | 4464 | 912 | 3552 |
Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(5550, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5550, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(555, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1110, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2775, [\chi])\)\(^{\oplus 2}\)