Defining parameters
Level: | \( N \) | \(=\) | \( 2601 = 3^{2} \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2601.be (of order \(136\) and degree \(64\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 289 \) |
Character field: | \(\Q(\zeta_{136})\) | ||
Sturm bound: | \(612\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2601, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 19840 | 8256 | 11584 |
Cusp forms | 19328 | 8128 | 11200 |
Eisenstein series | 512 | 128 | 384 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2601, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2601, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2601, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(867, [\chi])\)\(^{\oplus 2}\)