Properties

Label 7920.2.u
Level $7920$
Weight $2$
Character orbit 7920.u
Rep. character $\chi_{7920}(2969,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $3456$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 7920 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7920.u (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1320 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(3456\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7920, [\chi])\).

Total New Old
Modular forms 1760 0 1760
Cusp forms 1696 0 1696
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{old}}(7920, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7920, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1320, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3960, [\chi])\)\(^{\oplus 2}\)