Defining parameters
Level: | \( N \) | \(=\) | \( 9025 = 5^{2} \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9025.j (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 95 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(1900\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9025, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2020 | 1052 | 968 |
Cusp forms | 1780 | 988 | 792 |
Eisenstein series | 240 | 64 | 176 |
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
\( S_{2}^{\mathrm{old}}(9025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(95, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(475, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1805, [\chi])\)\(^{\oplus 2}\)