Properties

Label 1148.2.c
Level $1148$
Weight $2$
Character orbit 1148.c
Rep. character $\chi_{1148}(1147,\cdot)$
Character field $\Q$
Dimension $164$
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.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1148 \)
Character field: \(\Q\)
Sturm bound: \(336\)

Dimensions

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

Total New Old
Modular forms 172 172 0
Cusp forms 164 164 0
Eisenstein series 8 8 0

Trace form

\( 164q - 4q^{2} - 4q^{4} - 16q^{8} - 164q^{9} + O(q^{10}) \) \( 164q - 4q^{2} - 4q^{4} - 16q^{8} - 164q^{9} - 4q^{16} - 156q^{25} - 44q^{32} - 68q^{36} - 8q^{37} + 40q^{42} + 64q^{46} - 12q^{49} - 24q^{50} + 16q^{57} - 40q^{64} + 2q^{72} + 74q^{74} - 32q^{77} + 42q^{78} + 228q^{81} - 10q^{84} - 4q^{86} + 74q^{92} + 4q^{98} + O(q^{100}) \)

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

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