Defining parameters
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 13 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 7 \) | ||
Sturm bound: | \(168\) | ||
Trace bound: | \(14\) | ||
Distinguishing \(T_p\): | \(2\), \(7\), \(17\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(585, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 92 | 22 | 70 |
Cusp forms | 76 | 22 | 54 |
Eisenstein series | 16 | 0 | 16 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(585, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(585, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(585, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(65, [\chi])\)\(^{\oplus 3}\)