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Properties

Label 1932.2.bb
Level $1932$
Weight $2$
Character orbit 1932.bb
Rep. character $\chi_{1932}(599,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $704$
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.bb (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 84 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(768\)

Dimensions

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

Total New Old
Modular forms 784 704 80
Cusp forms 752 704 48
Eisenstein series 32 0 32

Trace form

\( 704 q + O(q^{10}) \) \( 704 q + 10 q^{12} + 16 q^{13} + 10 q^{18} - 24 q^{22} + 20 q^{24} + 360 q^{25} - 12 q^{28} + 20 q^{30} - 48 q^{34} - 40 q^{36} + 8 q^{37} - 34 q^{42} + 44 q^{48} - 16 q^{49} - 12 q^{52} - 82 q^{54} - 24 q^{58} - 48 q^{60} - 16 q^{61} + 120 q^{64} - 56 q^{66} + 120 q^{70} + 2 q^{72} - 8 q^{73} + 76 q^{78} + 96 q^{82} + 136 q^{84} + 24 q^{88} + 80 q^{90} + 12 q^{94} + 100 q^{96} - 176 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

\( S_{2}^{\mathrm{old}}(1932, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(84, [\chi])\)\(^{\oplus 2}\)