Properties

Label 315.10.cb
Level 315315
Weight 1010
Character orbit 315.cb
Rep. character χ315(13,)\chi_{315}(13,\cdot)
Character field Q(ζ12)\Q(\zeta_{12})
Dimension 17121712
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.cb (of order 1212 and degree 44)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 315 315
Character field: Q(ζ12)\Q(\zeta_{12})
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 1744 1744 0
Cusp forms 1712 1712 0
Eisenstein series 32 32 0

Trace form

1712q4q22q74112q8+30816q11241760q15+54525944q16278408q18+630624q21+4092q222811852q234q251050632q28+43987264q3015209712q32++2733457680q98+O(q100) 1712 q - 4 q^{2} - 2 q^{7} - 4112 q^{8} + 30816 q^{11} - 241760 q^{15} + 54525944 q^{16} - 278408 q^{18} + 630624 q^{21} + 4092 q^{22} - 2811852 q^{23} - 4 q^{25} - 1050632 q^{28} + 43987264 q^{30} - 15209712 q^{32}+ \cdots + 2733457680 q^{98}+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.