Defining parameters
Level: | \( N \) | \(=\) | \( 2678 = 2 \cdot 13 \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2678.bb (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1339 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2678, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1472 | 480 | 992 |
Cusp forms | 1440 | 480 | 960 |
Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2678, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2678, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2678, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1339, [\chi])\)\(^{\oplus 2}\)