Properties

Label 1148.2.bf
Level $1148$
Weight $2$
Character orbit 1148.bf
Rep. character $\chi_{1148}(139,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $656$
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.bf (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1148 \)
Character field: \(\Q(\zeta_{10})\)
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

\( 656q - 6q^{2} - 6q^{4} - 18q^{8} + 592q^{9} + O(q^{10}) \) \( 656q - 6q^{2} - 6q^{4} - 18q^{8} + 592q^{9} - 6q^{14} - 6q^{16} - 36q^{18} - 32q^{21} + 10q^{22} + 136q^{25} - 32q^{28} - 36q^{29} - 72q^{30} + 24q^{32} - 8q^{36} - 12q^{37} - 28q^{42} - 32q^{44} + 16q^{46} + 2q^{49} - 60q^{50} - 12q^{53} - 35q^{56} - 48q^{57} + 30q^{58} - 14q^{60} + 102q^{64} - 36q^{65} + 39q^{70} - 138q^{72} - 34q^{77} - 106q^{78} + 320q^{81} - 90q^{84} - 88q^{85} - 72q^{86} - 44q^{88} + 86q^{92} - 24q^{93} + 49q^{98} + O(q^{100}) \)

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

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