Defining parameters
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.be (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 105 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(525, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 688 | 400 | 288 |
Cusp forms | 592 | 368 | 224 |
Eisenstein series | 96 | 32 | 64 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(525, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(525, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(525, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(105, [\chi])\)\(^{\oplus 2}\)