Properties

Label 6776.2.l
Level $6776$
Weight $2$
Character orbit 6776.l
Rep. character $\chi_{6776}(4355,\cdot)$
Character field $\Q$
Dimension $648$
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.l (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 88 \)
Character field: \(\Q\)
Sturm bound: \(2112\)

Dimensions

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

Total New Old
Modular forms 1080 648 432
Cusp forms 1032 648 384
Eisenstein series 48 0 48

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

\( S_{2}^{\mathrm{old}}(6776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(88, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(616, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(968, [\chi])\)\(^{\oplus 2}\)