Properties

Label 9072.2.en
Level $9072$
Weight $2$
Character orbit 9072.en
Rep. character $\chi_{9072}(1027,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $3056$
Sturm bound $3456$

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Defining parameters

Level: \( N \) \(=\) \( 9072 = 2^{4} \cdot 3^{4} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9072.en (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1008 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(3456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9072, [\chi])\).

Total New Old
Modular forms 7008 3088 3920
Cusp forms 6816 3056 3760
Eisenstein series 192 32 160

Decomposition of \(S_{2}^{\mathrm{new}}(9072, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9072, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9072, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1008, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3024, [\chi])\)\(^{\oplus 2}\)