Properties

Label 7440.2.ip
Level $7440$
Weight $2$
Character orbit 7440.ip
Rep. character $\chi_{7440}(163,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $6144$
Sturm bound $3072$

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Defining parameters

Level: \( N \) \(=\) \( 7440 = 2^{4} \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7440.ip (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2480 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(3072\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7440, [\chi])\).

Total New Old
Modular forms 12352 6144 6208
Cusp forms 12224 6144 6080
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(7440, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7440, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7440, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2480, [\chi])\)\(^{\oplus 2}\)