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Properties

Label 1932.2.bh
Level $1932$
Weight $2$
Character orbit 1932.bh
Rep. character $\chi_{1932}(113,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $480$
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.bh (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 69 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(768\)

Dimensions

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

Total New Old
Modular forms 3960 480 3480
Cusp forms 3720 480 3240
Eisenstein series 240 0 240

Trace form

\( 480 q + 4 q^{3} - 4 q^{9} + O(q^{10}) \) \( 480 q + 4 q^{3} - 4 q^{9} + 8 q^{13} - 22 q^{15} - 72 q^{25} + 4 q^{27} - 40 q^{31} - 22 q^{33} + 44 q^{37} + 4 q^{39} + 44 q^{43} + 48 q^{49} + 148 q^{55} + 66 q^{57} + 44 q^{67} + 86 q^{69} + 36 q^{73} + 20 q^{75} + 64 q^{81} + 4 q^{85} - 40 q^{87} + 4 q^{93} - 132 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(1932, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(69, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(138, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(966, [\chi])\)\(^{\oplus 2}\)