Properties

Label 6080.2.bk
Level $6080$
Weight $2$
Character orbit 6080.bk
Rep. character $\chi_{6080}(911,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $320$
Sturm bound $1920$

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Defining parameters

Level: \( N \) \(=\) \( 6080 = 2^{6} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6080.bk (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 304 \)
Character field: \(\Q(i)\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6080, [\chi])\).

Total New Old
Modular forms 1952 320 1632
Cusp forms 1888 320 1568
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(6080, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6080, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6080, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1216, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1520, [\chi])\)\(^{\oplus 3}\)