Defining parameters
Level: | \( N \) | \(=\) | \( 1407 = 3 \cdot 7 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 1407.cw (of order \(66\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 469 \) |
Character field: | \(\Q(\zeta_{66})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(181\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(1407, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 120 | 0 | 120 |
Cusp forms | 40 | 0 | 40 |
Eisenstein series | 80 | 0 | 80 |
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 \(S_{1}^{\mathrm{old}}(1407, [\chi])\) into lower level spaces
\( S_{1}^{\mathrm{old}}(1407, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(469, [\chi])\)\(^{\oplus 2}\)