Defining parameters
Level: | \( N \) | \(=\) | \( 5225 = 5^{2} \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5225.dh (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 95 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Sturm bound: | \(1200\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5225, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3672 | 1800 | 1872 |
Cusp forms | 3528 | 1800 | 1728 |
Eisenstein series | 144 | 0 | 144 |
Decomposition of \(S_{2}^{\mathrm{new}}(5225, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5225, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5225, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(95, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1045, [\chi])\)\(^{\oplus 2}\)