Defining parameters
Level: | \( N \) | \(=\) | \( 4508 = 2^{2} \cdot 7^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4508.bz (of order \(154\) and degree \(60\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1127 \) |
Character field: | \(\Q(\zeta_{154})\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4508, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 40680 | 6720 | 33960 |
Cusp forms | 39960 | 6720 | 33240 |
Eisenstein series | 720 | 0 | 720 |
Decomposition of \(S_{2}^{\mathrm{new}}(4508, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4508, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4508, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1127, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2254, [\chi])\)\(^{\oplus 2}\)