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Properties

Label 1932.2.cb
Level $1932$
Weight $2$
Character orbit 1932.cb
Rep. character $\chi_{1932}(95,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $7520$
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.cb (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1932 \)
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 7840 0
Cusp forms 7520 7520 0
Eisenstein series 320 320 0

Trace form

\( 7520 q - 18 q^{4} - 44 q^{6} - 18 q^{9} + O(q^{10}) \) \( 7520 q - 18 q^{4} - 44 q^{6} - 18 q^{9} - 2 q^{10} + 3 q^{12} - 144 q^{13} - 2 q^{16} - q^{18} - 32 q^{21} - 208 q^{22} - 14 q^{24} - 380 q^{25} - 52 q^{28} - 3 q^{30} - 42 q^{33} - 24 q^{34} - 92 q^{36} - 36 q^{37} - 90 q^{40} - 64 q^{42} - 8 q^{45} - 46 q^{46} - 104 q^{48} - 72 q^{49} + 178 q^{52} - 5 q^{54} - 80 q^{57} + 62 q^{58} + 9 q^{60} - 36 q^{61} - 72 q^{64} + 18 q^{66} - 124 q^{69} - 28 q^{70} - 53 q^{72} - 36 q^{73} - 40 q^{76} - 132 q^{78} + 14 q^{81} + 18 q^{82} - 6 q^{84} - 96 q^{85} + 22 q^{88} - 88 q^{90} - 32 q^{93} + 102 q^{94} + 13 q^{96} - 144 q^{97} + O(q^{100}) \)

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.