Defining parameters
Level: | \( N \) | \(=\) | \( 3525 = 3 \cdot 5^{2} \cdot 47 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 3525.bb (of order \(46\) and degree \(22\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 705 \) |
Character field: | \(\Q(\zeta_{46})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(480\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(3525, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 352 | 88 | 264 |
Cusp forms | 88 | 0 | 88 |
Eisenstein series | 264 | 88 | 176 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 0 | 0 | 0 | 0 |
Decomposition of \(S_{1}^{\mathrm{old}}(3525, [\chi])\) into lower level spaces
\( S_{1}^{\mathrm{old}}(3525, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(705, [\chi])\)\(^{\oplus 2}\)