Properties

Label 9072.2.he
Level $9072$
Weight $2$
Character orbit 9072.he
Rep. character $\chi_{9072}(19,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $6864$
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.he (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3024 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(3456\)

Dimensions

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

Total New Old
Modular forms 20880 6960 13920
Cusp forms 20592 6864 13728
Eisenstein series 288 96 192

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

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