Defining parameters
Level: | \( N \) | \(=\) | \( 3450 = 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3450.bt (of order \(220\) and degree \(80\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 575 \) |
Character field: | \(\Q(\zeta_{220})\) | ||
Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3450, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 58240 | 9600 | 48640 |
Cusp forms | 56960 | 9600 | 47360 |
Eisenstein series | 1280 | 0 | 1280 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3450, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3450, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3450, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(575, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1150, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1725, [\chi])\)\(^{\oplus 2}\)