Properties

Label 7200.2.fi
Level $7200$
Weight $2$
Character orbit 7200.fi
Rep. character $\chi_{7200}(643,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $6880$
Sturm bound $2880$

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Defining parameters

Level: \( N \) \(=\) \( 7200 = 2^{5} \cdot 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7200.fi (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1440 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(2880\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7200, [\chi])\).

Total New Old
Modular forms 11616 6944 4672
Cusp forms 11424 6880 4544
Eisenstein series 192 64 128

Decomposition of \(S_{2}^{\mathrm{new}}(7200, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7200, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1440, [\chi])\)\(^{\oplus 2}\)