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Properties

Label 1932.2.cc
Level $1932$
Weight $2$
Character orbit 1932.cc
Rep. character $\chi_{1932}(67,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $3840$
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.cc (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 644 \)
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 7840 3840 4000
Cusp forms 7520 3840 3680
Eisenstein series 320 0 320

Trace form

\( 3840 q + 4 q^{2} + 4 q^{4} - 8 q^{8} - 192 q^{9} + O(q^{10}) \) \( 3840 q + 4 q^{2} + 4 q^{4} - 8 q^{8} - 192 q^{9} + 4 q^{16} - 4 q^{18} - 192 q^{25} - 20 q^{26} + 64 q^{29} + 24 q^{32} - 36 q^{36} + 220 q^{38} + 32 q^{41} + 110 q^{42} + 154 q^{44} + 12 q^{46} - 32 q^{48} - 32 q^{49} - 180 q^{50} + 216 q^{52} + 110 q^{56} - 2 q^{58} + 144 q^{62} - 56 q^{64} + 24 q^{70} - 4 q^{72} - 22 q^{74} + 48 q^{77} + 198 q^{80} + 192 q^{81} + 24 q^{82} + 400 q^{85} - 330 q^{88} - 268 q^{92} + 16 q^{93} + 114 q^{94} - 20 q^{96} + O(q^{100}) \)

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

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