Properties

Label 6240.2.ij
Level $6240$
Weight $2$
Character orbit 6240.ij
Rep. character $\chi_{6240}(1429,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $2688$
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.ij (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2080 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(2688\)

Dimensions

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

Total New Old
Modular forms 5408 2688 2720
Cusp forms 5344 2688 2656
Eisenstein series 64 0 64

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

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