Properties

Label 1148.2.cg
Level $1148$
Weight $2$
Character orbit 1148.cg
Rep. character $\chi_{1148}(87,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $2624$
Sturm bound $336$

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Defining parameters

Level: \( N \) \(=\) \( 1148 = 2^{2} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1148.cg (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1148 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1148, [\chi])\).

Total New Old
Modular forms 2752 2752 0
Cusp forms 2624 2624 0
Eisenstein series 128 128 0

Trace form

\( 2624q - 10q^{2} - 6q^{4} - 60q^{5} - 40q^{8} + O(q^{10}) \) \( 2624q - 10q^{2} - 6q^{4} - 60q^{5} - 40q^{8} - 18q^{10} - 24q^{12} - 26q^{14} - 6q^{16} - 48q^{17} - 30q^{18} - 40q^{21} - 64q^{22} + 30q^{24} + 284q^{25} - 42q^{26} - 54q^{28} - 128q^{29} - 26q^{30} - 60q^{33} - 120q^{36} - 12q^{37} - 66q^{38} - 108q^{40} - 64q^{42} + 8q^{44} - 36q^{45} - 110q^{46} - 40q^{49} - 84q^{52} - 16q^{53} - 96q^{54} - 102q^{56} - 48q^{57} + 2q^{58} - 30q^{60} - 60q^{61} + 12q^{65} + 162q^{66} - 210q^{68} - 70q^{70} + 130q^{72} - 10q^{74} - 40q^{77} - 16q^{78} - 30q^{80} + 944q^{81} - 300q^{82} - 20q^{84} - 136q^{85} + 2q^{86} - 38q^{88} + 72q^{89} + 172q^{92} - 56q^{93} - 6q^{94} - 180q^{96} + 82q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1148, [\chi])\) into newform subspaces

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