Properties

Label 7920.2.gz
Level $7920$
Weight $2$
Character orbit 7920.gz
Rep. character $\chi_{7920}(1123,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $5760$
Sturm bound $3456$

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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.gz (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 720 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(3456\)

Dimensions

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

Total New Old
Modular forms 6944 5760 1184
Cusp forms 6880 5760 1120
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(7920, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

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

\( S_{2}^{\mathrm{old}}(7920, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(720, [\chi])\)\(^{\oplus 2}\)