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Properties

Label 2960.2.bh
Level $2960$
Weight $2$
Character orbit 2960.bh
Rep. character $\chi_{2960}(741,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $576$
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.bh (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 16 \)
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 920 576 344
Cusp forms 904 576 328
Eisenstein series 16 0 16

Trace form

\( 576 q + 24 q^{6} + O(q^{10}) \) \( 576 q + 24 q^{6} - 8 q^{10} + 24 q^{12} - 16 q^{14} + 16 q^{15} + 8 q^{16} + 16 q^{19} - 16 q^{20} + 48 q^{22} - 8 q^{24} - 48 q^{27} + 8 q^{28} + 8 q^{34} + 8 q^{36} - 40 q^{38} - 80 q^{42} - 72 q^{44} + 8 q^{46} + 80 q^{48} - 576 q^{49} - 16 q^{51} - 112 q^{52} - 120 q^{54} - 80 q^{56} - 72 q^{58} + 16 q^{59} - 32 q^{61} + 64 q^{62} + 72 q^{64} + 80 q^{66} + 40 q^{68} - 32 q^{69} + 16 q^{70} - 72 q^{72} + 32 q^{76} - 72 q^{78} - 32 q^{79} - 576 q^{81} + 72 q^{82} + 184 q^{84} + 32 q^{85} + 16 q^{86} - 72 q^{90} - 64 q^{91} + 96 q^{93} + 40 q^{94} - 64 q^{96} - 136 q^{98} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(16, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(80, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(592, [\chi])\)\(^{\oplus 2}\)