Defining parameters
Level: | \( N \) | \(=\) | \( 5915 = 5 \cdot 7 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5915.cl (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 455 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5915, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3024 | 2544 | 480 |
Cusp forms | 2800 | 2384 | 416 |
Eisenstein series | 224 | 160 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(5915, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5915, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5915, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(455, [\chi])\)\(^{\oplus 2}\)