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Properties

Label 2960.2.bm
Level $2960$
Weight $2$
Character orbit 2960.bm
Rep. character $\chi_{2960}(1153,\cdot)$
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.bm (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

\( 224 q + 4 q^{7} + O(q^{10}) \) \( 224 q + 4 q^{7} + 8 q^{15} - 8 q^{17} + 24 q^{27} + 4 q^{31} + 8 q^{33} + 12 q^{35} + 8 q^{37} - 12 q^{39} - 8 q^{45} + 28 q^{47} + 4 q^{51} - 4 q^{53} - 8 q^{55} - 4 q^{61} - 36 q^{63} + 20 q^{65} + 12 q^{69} + 8 q^{71} + 20 q^{73} + 4 q^{75} - 48 q^{79} - 200 q^{81} + 4 q^{83} - 20 q^{85} + 72 q^{87} + 8 q^{89} + 52 q^{91} - 8 q^{97} + 64 q^{99} + O(q^{100}) \)

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

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