Defining parameters
Level: | \( N \) | \(=\) | \( 5415 = 3 \cdot 5 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5415.bg (of order \(19\) and degree \(18\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 361 \) |
Character field: | \(\Q(\zeta_{19})\) | ||
Sturm bound: | \(1520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5415, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 13752 | 4536 | 9216 |
Cusp forms | 13608 | 4536 | 9072 |
Eisenstein series | 144 | 0 | 144 |
Decomposition of \(S_{2}^{\mathrm{new}}(5415, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5415, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5415, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1083, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1805, [\chi])\)\(^{\oplus 2}\)