Defining parameters
Level: | \( N \) | \(=\) | \( 1911 = 3 \cdot 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1911.c (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 13 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 16 \) | ||
Sturm bound: | \(522\) | ||
Trace bound: | \(10\) | ||
Distinguishing \(T_p\): | \(2\), \(5\), \(17\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1911, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 276 | 94 | 182 |
Cusp forms | 244 | 94 | 150 |
Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(1911, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1911, [\chi]) \cong \)