Defining parameters
Level: | \( N \) | \(=\) | \( 5054 = 2 \cdot 7 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5054.x (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 133 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Sturm bound: | \(1520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5054, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4800 | 1368 | 3432 |
Cusp forms | 4320 | 1368 | 2952 |
Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{2}^{\mathrm{new}}(5054, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5054, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5054, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(133, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(266, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2527, [\chi])\)\(^{\oplus 2}\)