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Properties

Label 1155.2.dm
Level $1155$
Weight $2$
Character orbit 1155.dm
Rep. character $\chi_{1155}(17,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $2944$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1155.dm (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1155 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1155, [\chi])\).

Total New Old
Modular forms 3200 3200 0
Cusp forms 2944 2944 0
Eisenstein series 256 256 0

Trace form

\( 2944 q - 18 q^{3} - 40 q^{7} + O(q^{10}) \) \( 2944 q - 18 q^{3} - 40 q^{7} - 72 q^{12} - 24 q^{15} - 344 q^{16} - 10 q^{18} - 72 q^{22} + 12 q^{25} + 20 q^{28} - 10 q^{30} - 72 q^{31} - 144 q^{33} - 48 q^{36} - 28 q^{37} - 60 q^{40} + 92 q^{42} + 48 q^{45} - 40 q^{46} + 60 q^{51} - 60 q^{52} - 200 q^{57} - 88 q^{58} - 58 q^{60} - 120 q^{61} - 20 q^{63} - 120 q^{66} - 96 q^{67} + 20 q^{70} - 10 q^{72} - 60 q^{73} - 162 q^{75} + 24 q^{78} - 24 q^{81} - 132 q^{82} - 80 q^{85} + 28 q^{88} - 144 q^{91} + 50 q^{93} - 480 q^{96} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1155, [\chi])\) into newform subspaces

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