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Properties

Label 1932.2.cj
Level $1932$
Weight $2$
Character orbit 1932.cj
Rep. character $\chi_{1932}(53,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $1280$
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.cj (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 483 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(768\)

Dimensions

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

Total New Old
Modular forms 7920 1280 6640
Cusp forms 7440 1280 6160
Eisenstein series 480 0 480

Trace form

\( 1280 q + 4 q^{9} + O(q^{10}) \) \( 1280 q + 4 q^{9} + 66 q^{21} + 72 q^{25} - 54 q^{27} + 44 q^{37} - 4 q^{39} - 88 q^{43} + 156 q^{49} - 48 q^{55} + 88 q^{61} + 55 q^{63} - 46 q^{69} - 8 q^{73} + 134 q^{75} - 44 q^{79} + 56 q^{81} + 40 q^{85} - 24 q^{87} - 32 q^{93} + 132 q^{99} + O(q^{100}) \)

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

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