Defining parameters
| Level: | \( N \) | \(=\) | \( 10115 = 5 \cdot 7 \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 10115.dn (of order \(68\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 289 \) |
| Character field: | \(\Q(\zeta_{68})\) | ||
| Sturm bound: | \(2448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(10115, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 39296 | 19584 | 19712 |
| Cusp forms | 39040 | 19584 | 19456 |
| Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(10115, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(10115, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(10115, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1445, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2023, [\chi])\)\(^{\oplus 2}\)