Properties

Label 1148.2.bb
Level $1148$
Weight $2$
Character orbit 1148.bb
Rep. character $\chi_{1148}(195,\cdot)$
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.bb (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

\( 656q - 6q^{2} - 6q^{4} + 6q^{8} - 656q^{9} + O(q^{10}) \) \( 656q - 6q^{2} - 6q^{4} + 6q^{8} - 656q^{9} - 6q^{16} + 20q^{21} - 10q^{22} + 136q^{25} - 30q^{28} - 60q^{29} + 20q^{30} + 24q^{32} - 52q^{36} - 12q^{37} - 20q^{42} + 76q^{46} + 2q^{49} + 4q^{50} - 20q^{53} - 75q^{56} + 24q^{57} - 10q^{58} - 30q^{60} - 90q^{64} - 20q^{65} - 155q^{70} - 62q^{72} - 84q^{74} + 22q^{77} - 22q^{78} + 512q^{81} - 100q^{84} + 44q^{86} + 6q^{92} - 49q^{98} + O(q^{100}) \)

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

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