Defining parameters
Level: | \( N \) | \(=\) | \( 7225 = 5^{2} \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7225.bp (of order \(68\) and degree \(32\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 289 \) |
Character field: | \(\Q(\zeta_{68})\) | ||
Sturm bound: | \(1530\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7225, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 24640 | 15616 | 9024 |
Cusp forms | 24256 | 15424 | 8832 |
Eisenstein series | 384 | 192 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(7225, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7225, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7225, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1445, [\chi])\)\(^{\oplus 2}\)