Defining parameters
Level: | \( N \) | \(=\) | \( 4176 = 2^{4} \cdot 3^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4176.do (of order \(14\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 348 \) |
Character field: | \(\Q(\zeta_{14})\) | ||
Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4176, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4464 | 360 | 4104 |
Cusp forms | 4176 | 360 | 3816 |
Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(4176, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4176, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4176, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(348, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1044, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1392, [\chi])\)\(^{\oplus 2}\)