Properties

Label 6240.2.os
Level $6240$
Weight $2$
Character orbit 6240.os
Rep. character $\chi_{6240}(973,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $5376$
Sturm bound $2688$

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Defining parameters

Level: \( N \) \(=\) \( 6240 = 2^{5} \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6240.os (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2080 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6240, [\chi])\).

Total New Old
Modular forms 10816 5376 5440
Cusp forms 10688 5376 5312
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(6240, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6240, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2080, [\chi])\)\(^{\oplus 2}\)