Defining parameters
Level: | \( N \) | \(=\) | \( 6790 = 2 \cdot 5 \cdot 7 \cdot 97 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6790.w (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 485 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(2352\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6790, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2368 | 592 | 1776 |
Cusp forms | 2336 | 592 | 1744 |
Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(6790, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6790, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6790, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(485, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(970, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3395, [\chi])\)\(^{\oplus 2}\)