Properties

Label 1456.2.b
Level $1456$
Weight $2$
Character orbit 1456.b
Rep. character $\chi_{1456}(727,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $448$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1456 = 2^{4} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1456.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 728 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(448\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1456, [\chi])\).

Total New Old
Modular forms 232 0 232
Cusp forms 216 0 216
Eisenstein series 16 0 16

Decomposition of \(S_{2}^{\mathrm{old}}(1456, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1456, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 2}\)