Properties

Label 8008.2.cq
Level $8008$
Weight $2$
Character orbit 8008.cq
Rep. character $\chi_{8008}(1739,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $2240$
Sturm bound $2688$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8008 = 2^{3} \cdot 7 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8008.cq (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 728 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8008, [\chi])\).

Total New Old
Modular forms 2704 2240 464
Cusp forms 2672 2240 432
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(8008, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8008, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8008, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 2}\)