Properties

Label 2960.1.bl
Level $2960$
Weight $1$
Character orbit 2960.bl
Rep. character $\chi_{2960}(487,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $0$
Newform subspaces $0$
Sturm bound $456$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2960 = 2^{4} \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2960.bl (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1480 \)
Character field: \(\Q(i)\)
Newform subspaces: \( 0 \)
Sturm bound: \(456\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2960, [\chi])\).

Total New Old
Modular forms 24 0 24
Cusp forms 8 0 8
Eisenstein series 16 0 16

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 0 0 0 0

Decomposition of \(S_{1}^{\mathrm{old}}(2960, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(2960, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(1480, [\chi])\)\(^{\oplus 2}\)