Defining parameters
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 17 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(255\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(289, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 238 | 210 | 28 |
Cusp forms | 220 | 196 | 24 |
Eisenstein series | 18 | 14 | 4 |
Trace form
Decomposition of \(S_{10}^{\mathrm{new}}(289, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{10}^{\mathrm{old}}(289, [\chi])\) into lower level spaces
\( S_{10}^{\mathrm{old}}(289, [\chi]) \cong \) \(S_{10}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 2}\)