Properties

Label 1568.2.bs
Level $1568$
Weight $2$
Character orbit 1568.bs
Rep. character $\chi_{1568}(55,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $0$
Newform subspaces $0$
Sturm bound $448$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1568 = 2^{5} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1568.bs (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 784 \)
Character field: \(\Q(\zeta_{28})\)
Newform subspaces: \( 0 \)
Sturm bound: \(448\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1568, [\chi])\).

Total New Old
Modular forms 2736 0 2736
Cusp forms 2640 0 2640
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{old}}(1568, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1568, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(784, [\chi])\)\(^{\oplus 2}\)