Defining parameters
Level: | \( N \) | \(=\) | \( 4900 = 2^{2} \cdot 5^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4900.bf (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 140 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1680\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4900, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3552 | 1472 | 2080 |
Cusp forms | 3168 | 1408 | 1760 |
Eisenstein series | 384 | 64 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(4900, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4900, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4900, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(140, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(700, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 2}\)