Properties

Label 6776.2.cr
Level $6776$
Weight $2$
Character orbit 6776.cr
Rep. character $\chi_{6776}(3,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $6784$
Sturm bound $2112$

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Defining parameters

Level: \( N \) \(=\) \( 6776 = 2^{3} \cdot 7 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6776.cr (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 616 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(2112\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6776, [\chi])\).

Total New Old
Modular forms 8640 7040 1600
Cusp forms 8256 6784 1472
Eisenstein series 384 256 128

Decomposition of \(S_{2}^{\mathrm{new}}(6776, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6776, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(616, [\chi])\)\(^{\oplus 2}\)