Defining parameters
Level: | \( N \) | \(=\) | \( 6025 = 5^{2} \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6025.gx (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 241 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(1210\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6025, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 9760 | 6192 | 3568 |
Cusp forms | 9568 | 6096 | 3472 |
Eisenstein series | 192 | 96 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(6025, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6025, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(241, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1205, [\chi])\)\(^{\oplus 2}\)