↑

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 $336$

Related objects

Downloads

Learn more

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

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

Display 100 coefficients 10 coefficients

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

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