Defining parameters
Level: | \( N \) | \(=\) | \( 2904 = 2^{3} \cdot 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2904.s (of order \(10\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 44 \) |
Character field: | \(\Q(\zeta_{10})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1056\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2904, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2304 | 0 | 2304 |
Cusp forms | 1920 | 0 | 1920 |
Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{old}}(2904, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2904, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(44, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(88, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(132, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(264, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(484, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(968, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1452, [\chi])\)\(^{\oplus 2}\)