Properties

Label 5776.2.cl
Level $5776$
Weight $2$
Character orbit 5776.cl
Rep. character $\chi_{5776}(71,\cdot)$
Character field $\Q(\zeta_{342})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1520$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 5776 = 2^{4} \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5776.cl (of order \(342\) and degree \(108\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2888 \)
Character field: \(\Q(\zeta_{342})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1520\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5776, [\chi])\).

Total New Old
Modular forms 82512 0 82512
Cusp forms 81648 0 81648
Eisenstein series 864 0 864

Decomposition of \(S_{2}^{\mathrm{old}}(5776, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2888, [\chi])\)\(^{\oplus 2}\)