Properties

Label 6864.2.hv
Level $6864$
Weight $2$
Character orbit 6864.hv
Rep. character $\chi_{6864}(365,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $9216$
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.hv (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 528 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(2688\)

Dimensions

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

Total New Old
Modular forms 10816 9216 1600
Cusp forms 10688 9216 1472
Eisenstein series 128 0 128

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

\( S_{2}^{\mathrm{old}}(6864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(528, [\chi])\)\(^{\oplus 2}\)