Properties

Label 2960.1.ez
Level $2960$
Weight $1$
Character orbit 2960.ez
Rep. character $\chi_{2960}(1099,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $8$
Newform subspaces $1$
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.ez (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2960 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 1 \)
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 24 0
Cusp forms 8 8 0
Eisenstein series 16 16 0

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

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 0 0 8 0

Trace form

\( 8 q + 8 q^{6} + O(q^{10}) \) \( 8 q + 8 q^{6} + 8 q^{10} + 8 q^{11} - 8 q^{14} + 4 q^{16} + 4 q^{19} - 4 q^{21} - 4 q^{34} - 4 q^{35} + 4 q^{39} - 4 q^{44} - 4 q^{46} + 4 q^{49} - 8 q^{51} + 4 q^{56} + 8 q^{60} - 4 q^{61} + 4 q^{65} + 8 q^{66} + 4 q^{69} + 8 q^{71} - 8 q^{74} - 4 q^{76} - 4 q^{81} - 8 q^{84} - 8 q^{85} - 4 q^{91} + 4 q^{96} + O(q^{100}) \)

Decomposition of \(S_{1}^{\mathrm{new}}(2960, [\chi])\) into newform subspaces

Label Dim. \(A\) Field Image CM RM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2960.1.ez.a \(8\) \(1.477\) \(\Q(\zeta_{24})\) \(S_{4}\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}+\zeta_{24}^{5}q^{3}-\zeta_{24}^{2}q^{4}+\cdots\)