Properties

Label 1792.2.by
Level $1792$
Weight $2$
Character orbit 1792.by
Rep. character $\chi_{1792}(9,\cdot)$
Character field $\Q(\zeta_{96})$
Dimension $0$
Newform subspaces $0$
Sturm bound $512$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1792 = 2^{8} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1792.by (of order \(96\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 896 \)
Character field: \(\Q(\zeta_{96})\)
Newform subspaces: \( 0 \)
Sturm bound: \(512\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1792, [\chi])\).

Total New Old
Modular forms 8320 0 8320
Cusp forms 8064 0 8064
Eisenstein series 256 0 256

Decomposition of \(S_{2}^{\mathrm{old}}(1792, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1792, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(896, [\chi])\)\(^{\oplus 2}\)