Defining parameters
Level: | \( N \) | \(=\) | \( 9025 = 5^{2} \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9025.ck (of order \(684\) and degree \(216\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1805 \) |
Character field: | \(\Q(\zeta_{684})\) | ||
Sturm bound: | \(1900\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9025, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 206496 | 123552 | 82944 |
Cusp forms | 203904 | 122688 | 81216 |
Eisenstein series | 2592 | 864 | 1728 |
Decomposition of \(S_{2}^{\mathrm{new}}(9025, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9025, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1805, [\chi])\)\(^{\oplus 2}\)