Defining parameters
Level: | \( N \) | \(=\) | \( 5929 = 7^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5929.be (of order \(55\) and degree \(40\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 121 \) |
Character field: | \(\Q(\zeta_{55})\) | ||
Sturm bound: | \(1232\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5929, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 24960 | 18240 | 6720 |
Cusp forms | 24320 | 17840 | 6480 |
Eisenstein series | 640 | 400 | 240 |
Decomposition of \(S_{2}^{\mathrm{new}}(5929, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5929, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5929, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 2}\)