Defining parameters
Level: | \( N \) | \(=\) | \( 9025 = 5^{2} \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9025.y (of order \(30\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 475 \) |
Character field: | \(\Q(\zeta_{30})\) | ||
Sturm bound: | \(1900\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9025, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 7760 | 6928 | 832 |
Cusp forms | 7440 | 6672 | 768 |
Eisenstein series | 320 | 256 | 64 |
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
\( S_{2}^{\mathrm{old}}(9025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 2}\)