Defining parameters
Level: | \( N \) | \(=\) | \( 4725 = 3^{3} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4725.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 21 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4725, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 756 | 202 | 554 |
Cusp forms | 684 | 202 | 482 |
Eisenstein series | 72 | 0 | 72 |
Decomposition of \(S_{2}^{\mathrm{new}}(4725, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4725, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4725, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(21, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(63, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(189, [\chi])\)\(^{\oplus 3}\)