Properties

Label 5776.2.s
Level $5776$
Weight $2$
Character orbit 5776.s
Rep. character $\chi_{5776}(791,\cdot)$
Character field $\Q(\zeta_{6})$
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.s (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 152 \)
Character field: \(\Q(\zeta_{6})\)
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 1600 0 1600
Cusp forms 1440 0 1440
Eisenstein series 160 0 160

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

\( S_{2}^{\mathrm{old}}(5776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2888, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 4}\)