Properties

Label 315.10.r
Level 315315
Weight 1010
Character orbit 315.r
Rep. character χ315(184,)\chi_{315}(184,\cdot)
Character field Q(ζ6)\Q(\zeta_{6})
Dimension 856856
Sturm bound 480480

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Defining parameters

Level: N N == 315=3257 315 = 3^{2} \cdot 5 \cdot 7
Weight: k k == 10 10
Character orbit: [χ][\chi] == 315.r (of order 66 and degree 22)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 315 315
Character field: Q(ζ6)\Q(\zeta_{6})
Sturm bound: 480480

Dimensions

The following table gives the dimensions of various subspaces of M10(315,[χ])M_{10}(315, [\chi]).

Total New Old
Modular forms 872 872 0
Cusp forms 856 856 0
Eisenstein series 16 16 0

Trace form

856q217092q4+q53528q634646q9+1022q10+15414q1159618q14335471q15+54527996q164q19524802q201950074q21+3008964q24+q25+1989028650q99+O(q100) 856 q - 217092 q^{4} + q^{5} - 3528 q^{6} - 34646 q^{9} + 1022 q^{10} + 15414 q^{11} - 59618 q^{14} - 335471 q^{15} + 54527996 q^{16} - 4 q^{19} - 524802 q^{20} - 1950074 q^{21} + 3008964 q^{24} + q^{25}+ \cdots - 1989028650 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S10new(315,[χ])S_{10}^{\mathrm{new}}(315, [\chi]) into newform subspaces

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