Properties

Label 8007.2.k
Level $8007$
Weight $2$
Character orbit 8007.k
Rep. character $\chi_{8007}(472,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $936$
Sturm bound $1896$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8007 = 3 \cdot 17 \cdot 157 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8007.k (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 17 \)
Character field: \(\Q(i)\)
Sturm bound: \(1896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8007, [\chi])\).

Total New Old
Modular forms 1904 936 968
Cusp forms 1888 936 952
Eisenstein series 16 0 16

Decomposition of \(S_{2}^{\mathrm{new}}(8007, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(8007, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8007, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(51, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2669, [\chi])\)\(^{\oplus 2}\)