Defining parameters
Level: | \( N \) | \(=\) | \( 9600 = 2^{7} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9600.gf (of order \(160\) and degree \(64\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3200 \) |
Character field: | \(\Q(\zeta_{160})\) | ||
Sturm bound: | \(3840\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9600, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 123136 | 61440 | 61696 |
Cusp forms | 122624 | 61440 | 61184 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(9600, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9600, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3200, [\chi])\)\(^{\oplus 2}\)