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Properties

Label 1932.2.ch
Level $1932$
Weight $2$
Character orbit 1932.ch
Rep. character $\chi_{1932}(101,\cdot)$
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.ch (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

\( 1280 q + 4 q^{9} + O(q^{10}) \) \( 1280 q + 4 q^{9} + 16 q^{15} - 42 q^{21} + 56 q^{25} - 24 q^{33} - 44 q^{37} - 20 q^{39} + 40 q^{43} + 12 q^{45} + 92 q^{49} - 2 q^{51} + 52 q^{57} + 72 q^{61} + 49 q^{63} + 24 q^{67} + 72 q^{73} - 24 q^{75} + 36 q^{79} + 40 q^{81} - 8 q^{85} + 132 q^{87} + 76 q^{91} + 32 q^{93} - 128 q^{99} + O(q^{100}) \)

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

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