Properties

Label 152.8.b
Level $152$
Weight $8$
Character orbit 152.b
Rep. character $\chi_{152}(75,\cdot)$
Character field $\Q$
Dimension $138$
Sturm bound $160$

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Defining parameters

Level: \( N \) \(=\) \( 152 = 2^{3} \cdot 19 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 152.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 152 \)
Character field: \(\Q\)
Sturm bound: \(160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{8}(152, [\chi])\).

Total New Old
Modular forms 142 142 0
Cusp forms 138 138 0
Eisenstein series 4 4 0

Trace form

\( 138 q + 50 q^{4} + 146 q^{6} - 97690 q^{9} - 4 q^{11} + 13050 q^{16} - 4 q^{17} - 60586 q^{19} + 254068 q^{20} + 146222 q^{24} - 2031254 q^{25} - 118774 q^{26} + 298658 q^{28} + 330752 q^{30} + 1129000 q^{35}+ \cdots - 23987996 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{8}^{\mathrm{new}}(152, [\chi])\) into newform subspaces

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