Defining parameters
Level: | \( N \) | \(=\) | \( 1280 = 2^{8} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1280.y (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 160 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(1280, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1600 | 400 | 1200 |
Cusp forms | 1472 | 368 | 1104 |
Eisenstein series | 128 | 32 | 96 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(1280, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(1280, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(1280, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(160, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(320, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(640, [\chi])\)\(^{\oplus 2}\)