Properties

Label 1104.2.bo
Level $1104$
Weight $2$
Character orbit 1104.bo
Rep. character $\chi_{1104}(5,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $3760$
Sturm bound $384$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1104 = 2^{4} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1104.bo (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1104 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1104, [\chi])\).

Total New Old
Modular forms 3920 3920 0
Cusp forms 3760 3760 0
Eisenstein series 160 160 0

Trace form

\( 3760 q - 18 q^{3} - 36 q^{4} - 24 q^{6} + O(q^{10}) \) \( 3760 q - 18 q^{3} - 36 q^{4} - 24 q^{6} - 44 q^{10} - 24 q^{12} - 36 q^{13} - 44 q^{15} - 76 q^{16} - 10 q^{18} - 44 q^{19} - 22 q^{21} - 40 q^{24} - 6 q^{27} - 44 q^{28} - 22 q^{30} - 72 q^{31} - 44 q^{33} - 88 q^{34} - 28 q^{36} - 44 q^{37} - 44 q^{40} - 22 q^{42} - 44 q^{43} + 100 q^{46} - 30 q^{48} - 400 q^{49} - 22 q^{51} - 4 q^{52} - 18 q^{54} - 184 q^{58} - 22 q^{60} - 44 q^{61} - 44 q^{63} - 72 q^{64} - 22 q^{66} - 44 q^{67} - 14 q^{69} - 24 q^{70} + 70 q^{72} - 10 q^{75} - 44 q^{76} - 56 q^{78} - 88 q^{79} - 36 q^{81} - 24 q^{82} - 22 q^{84} + 36 q^{85} - 44 q^{88} - 22 q^{90} - 268 q^{93} + 36 q^{94} - 86 q^{96} - 88 q^{97} - 22 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1104, [\chi])\) into newform subspaces

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