Properties

Label 6776.2.br
Level $6776$
Weight $2$
Character orbit 6776.br
Rep. character $\chi_{6776}(239,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2112$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 6776 = 2^{3} \cdot 7 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6776.br (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 44 \)
Character field: \(\Q(\zeta_{10})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2112\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 4416 0 4416
Cusp forms 4032 0 4032
Eisenstein series 384 0 384

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

\( S_{2}^{\mathrm{old}}(6776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(44, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(308, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(484, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3388, [\chi])\)\(^{\oplus 2}\)