Properties

Label 1932.2.i
Level $1932$
Weight $2$
Character orbit 1932.i
Rep. character $\chi_{1932}(1471,\cdot)$
Character field $\Q$
Dimension $144$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 1932 = 2^{2} \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1932.i (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 92 \)
Character field: \(\Q\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1932, [\chi])\).

Total New Old
Modular forms 392 144 248
Cusp forms 376 144 232
Eisenstein series 16 0 16

Trace form

\( 144 q - 4 q^{2} + 4 q^{4} - 8 q^{6} - 4 q^{8} - 144 q^{9} + O(q^{10}) \) \( 144 q - 4 q^{2} + 4 q^{4} - 8 q^{6} - 4 q^{8} - 144 q^{9} - 12 q^{16} + 4 q^{18} + 8 q^{24} - 144 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 4 q^{36} + 12 q^{46} + 32 q^{48} + 144 q^{49} + 68 q^{50} - 32 q^{52} + 8 q^{54} - 24 q^{58} + 8 q^{62} - 68 q^{64} - 32 q^{69} + 4 q^{72} + 32 q^{77} + 144 q^{81} + 32 q^{82} + 48 q^{85} - 44 q^{92} - 16 q^{93} - 120 q^{94} - 48 q^{96} - 4 q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1932, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1932, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1932, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(276, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 2}\)