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Properties

Label 112.10.v
Level $112$
Weight $10$
Character orbit 112.v
Rep. character $\chi_{112}(3,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $568$
Sturm bound $160$

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Defining parameters

Level: \( N \) \(=\) \( 112 = 2^{4} \cdot 7 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 112.v (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 112 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{10}(112, [\chi])\).

Total New Old
Modular forms 584 584 0
Cusp forms 568 568 0
Eisenstein series 16 16 0

Trace form

\( 568 q - 2 q^{2} - 6 q^{3} - 172 q^{4} - 6 q^{5} - 8 q^{7} - 1436 q^{8} + 53436 q^{10} + 65858 q^{11} - 6 q^{12} + 222124 q^{14} + 283048 q^{16} - 12 q^{17} + 49810 q^{18} - 6 q^{19} - 39370 q^{21} - 1449028 q^{22}+ \cdots + 2771313904 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{10}^{\mathrm{new}}(112, [\chi])\) into newform subspaces

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