Defining parameters
Level: | \( N \) | \(=\) | \( 6025 = 5^{2} \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6025.d (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 241 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(1210\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6025, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 610 | 386 | 224 |
Cusp forms | 598 | 380 | 218 |
Eisenstein series | 12 | 6 | 6 |
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
\( S_{2}^{\mathrm{old}}(6025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(241, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1205, [\chi])\)\(^{\oplus 2}\)