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Properties

Label 104.10.r
Level $104$
Weight $10$
Character orbit 104.r
Rep. character $\chi_{104}(29,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $248$
Sturm bound $140$

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Defining parameters

Level: \( N \) \(=\) \( 104 = 2^{3} \cdot 13 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 104.r (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 104 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(140\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{10}(104, [\chi])\).

Total New Old
Modular forms 256 256 0
Cusp forms 248 248 0
Eisenstein series 8 8 0

Trace form

\( 248 q - q^{2} - q^{4} + 70 q^{6} - 2 q^{7} - 9082 q^{8} + 787318 q^{9} - 5213 q^{10} + 177788 q^{12} + 111572 q^{14} + 39364 q^{15} - 597249 q^{16} - 102000 q^{17} - 1752150 q^{18} - 1048967 q^{20} - 1639464 q^{22}+ \cdots - 3568220507 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{10}^{\mathrm{new}}(104, [\chi])\) into newform subspaces

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