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 $384$

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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

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

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

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