Properties

Label 6864.2.cq
Level $6864$
Weight $2$
Character orbit 6864.cq
Rep. character $\chi_{6864}(571,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1344$
Sturm bound $2688$

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Defining parameters

Level: \( N \) \(=\) \( 6864 = 2^{4} \cdot 3 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6864.cq (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2288 \)
Character field: \(\Q(i)\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6864, [\chi])\).

Total New Old
Modular forms 2704 1344 1360
Cusp forms 2672 1344 1328
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(6864, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6864, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2288, [\chi])\)\(^{\oplus 2}\)