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Properties

Label 2960.2.br
Level $2960$
Weight $2$
Character orbit 2960.br
Rep. character $\chi_{2960}(993,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $224$
Sturm bound $912$

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Defining parameters

Level: \( N \) \(=\) \( 2960 = 2^{4} \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2960.br (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 185 \)
Character field: \(\Q(i)\)
Sturm bound: \(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2960, [\chi])\).

Total New Old
Modular forms 936 232 704
Cusp forms 888 224 664
Eisenstein series 48 8 40

Trace form

\( 224 q - 4 q^{5} + 4 q^{7} + O(q^{10}) \) \( 224 q - 4 q^{5} + 4 q^{7} + 20 q^{15} + 4 q^{23} - 24 q^{27} + 4 q^{31} + 8 q^{33} - 8 q^{35} - 12 q^{37} + 12 q^{39} + 4 q^{43} + 4 q^{45} + 28 q^{47} + 4 q^{51} - 4 q^{53} - 8 q^{55} - 16 q^{57} - 4 q^{61} - 36 q^{63} - 20 q^{65} - 12 q^{69} + 8 q^{71} - 20 q^{73} + 4 q^{75} + 48 q^{79} - 200 q^{81} + 4 q^{83} + 20 q^{85} - 8 q^{89} + 52 q^{91} + 40 q^{93} - 64 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2960, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2960, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(185, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(370, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(740, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1480, [\chi])\)\(^{\oplus 2}\)