↑

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

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

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

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.