Defining parameters
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bh (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 21 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{12}(273, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 828 | 704 | 124 |
Cusp forms | 812 | 704 | 108 |
Eisenstein series | 16 | 0 | 16 |
Trace form
Decomposition of \(S_{12}^{\mathrm{new}}(273, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{12}^{\mathrm{old}}(273, [\chi])\) into lower level spaces
\( S_{12}^{\mathrm{old}}(273, [\chi]) \cong \) \(S_{12}^{\mathrm{new}}(21, [\chi])\)\(^{\oplus 2}\)