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Properties

Label 1155.2.ck
Level $1155$
Weight $2$
Character orbit 1155.ck
Rep. character $\chi_{1155}(23,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $640$
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.ck (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 105 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(384\)

Dimensions

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

Total New Old
Modular forms 800 640 160
Cusp forms 736 640 96
Eisenstein series 64 0 64

Trace form

\( 640 q + 16 q^{6} + O(q^{10}) \) \( 640 q + 16 q^{6} - 24 q^{15} + 320 q^{16} - 16 q^{18} + 40 q^{21} - 96 q^{27} + 64 q^{28} - 64 q^{30} + 32 q^{31} - 48 q^{36} - 40 q^{40} - 48 q^{42} - 12 q^{45} + 48 q^{46} - 80 q^{52} + 72 q^{57} - 56 q^{58} + 88 q^{60} - 32 q^{61} - 104 q^{63} - 16 q^{67} - 248 q^{70} + 8 q^{72} - 32 q^{73} - 48 q^{75} - 128 q^{76} + 120 q^{78} - 56 q^{81} - 216 q^{82} + 48 q^{85} + 12 q^{87} + 24 q^{88} - 48 q^{90} - 144 q^{91} + 76 q^{93} - 88 q^{96} + 96 q^{97} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(1155, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1155, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(105, [\chi])\)\(^{\oplus 2}\)