Defining parameters
Level: | \( N \) | \(=\) | \( 9036 = 2^{2} \cdot 3^{2} \cdot 251 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9036.cb (of order \(250\) and degree \(100\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 753 \) |
Character field: | \(\Q(\zeta_{250})\) | ||
Sturm bound: | \(3024\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9036, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 152400 | 8400 | 144000 |
Cusp forms | 150000 | 8400 | 141600 |
Eisenstein series | 2400 | 0 | 2400 |
Decomposition of \(S_{2}^{\mathrm{new}}(9036, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9036, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(753, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1506, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2259, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3012, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4518, [\chi])\)\(^{\oplus 2}\)