Defining parameters
Level: | \( N \) | \(=\) | \( 1053 = 3^{4} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1053.bq (of order \(27\) and degree \(18\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 81 \) |
Character field: | \(\Q(\zeta_{27})\) | ||
Sturm bound: | \(252\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1053, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2304 | 1944 | 360 |
Cusp forms | 2232 | 1944 | 288 |
Eisenstein series | 72 | 0 | 72 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1053, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1053, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1053, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(81, [\chi])\)\(^{\oplus 2}\)