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Properties

Label 1077.2.b
Level $1077$
Weight $2$
Character orbit 1077.b
Rep. character $\chi_{1077}(1076,\cdot)$
Character field $\Q$
Dimension $118$
Sturm bound $240$

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Defining parameters

Level: \( N \) \(=\) \( 1077 = 3 \cdot 359 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1077.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1077 \)
Character field: \(\Q\)
Sturm bound: \(240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1077, [\chi])\).

Total New Old
Modular forms 122 122 0
Cusp forms 118 118 0
Eisenstein series 4 4 0

Trace form

\( 118 q - 2 q^{3} - 120 q^{4} + 2 q^{6} + 2 q^{9} + O(q^{10}) \) \( 118 q - 2 q^{3} - 120 q^{4} + 2 q^{6} + 2 q^{9} + 12 q^{10} - 4 q^{12} + 22 q^{15} + 140 q^{16} - 4 q^{18} + 8 q^{22} + 30 q^{24} - 122 q^{25} + 10 q^{27} + 28 q^{30} + 10 q^{33} + 16 q^{34} + 34 q^{36} + 4 q^{37} + 20 q^{40} + 4 q^{45} - 24 q^{46} - 16 q^{48} - 86 q^{49} - 12 q^{51} + 48 q^{54} + 8 q^{55} - 42 q^{60} - 152 q^{64} - 36 q^{66} - 32 q^{69} - 60 q^{72} - 32 q^{73} + 26 q^{75} + 48 q^{79} + 18 q^{81} + 56 q^{82} + 60 q^{85} - 20 q^{88} - 7 q^{90} - 52 q^{91} + 48 q^{94} - 59 q^{96} + 84 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1077, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.