Properties

Label 7440.2.ke
Level $7440$
Weight $2$
Character orbit 7440.ke
Rep. character $\chi_{7440}(359,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $0$
Newform subspaces $0$
Sturm bound $3072$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 7440 = 2^{4} \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7440.ke (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3720 \)
Character field: \(\Q(\zeta_{30})\)
Newform subspaces: \( 0 \)
Sturm bound: \(3072\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 12416 0 12416
Cusp forms 12160 0 12160
Eisenstein series 256 0 256

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

\( S_{2}^{\mathrm{old}}(7440, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3720, [\chi])\)\(^{\oplus 2}\)