Properties

Label 1148.2.bh
Level $1148$
Weight $2$
Character orbit 1148.bh
Rep. character $\chi_{1148}(255,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $656$
Sturm bound $336$

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 1148 = 2^{2} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1148.bh (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1148 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(336\)

Dimensions

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

Total New Old
Modular forms 688 688 0
Cusp forms 656 656 0
Eisenstein series 32 32 0

Trace form

\( 656q - 4q^{4} + O(q^{10}) \) \( 656q - 4q^{4} - 12q^{10} - 6q^{12} + 6q^{14} - 4q^{16} - 12q^{17} - 20q^{18} + 24q^{22} - 60q^{24} - 304q^{25} + 12q^{26} - 16q^{28} - 32q^{29} + 16q^{30} - 8q^{37} + 36q^{38} + 48q^{40} + 24q^{42} - 18q^{44} - 24q^{45} + 54q^{52} - 4q^{53} - 114q^{54} - 58q^{56} - 32q^{57} - 12q^{58} + 20q^{60} - 40q^{64} - 32q^{65} + 108q^{66} + 30q^{68} + 150q^{70} - 60q^{72} - 24q^{78} + 336q^{81} - 90q^{82} + 56q^{85} - 12q^{86} + 28q^{88} - 132q^{89} - 32q^{92} + 36q^{93} + 156q^{94} - 150q^{96} - 52q^{98} + O(q^{100}) \)

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

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