Properties

Label 2100.4.bu
Level 21002100
Weight 44
Character orbit 2100.bu
Rep. character χ2100(169,)\chi_{2100}(169,\cdot)
Character field Q(ζ10)\Q(\zeta_{10})
Dimension 368368
Sturm bound 19201920

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Defining parameters

Level: N N == 2100=223527 2100 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7
Weight: k k == 4 4
Character orbit: [χ][\chi] == 2100.bu (of order 1010 and degree 44)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 25 25
Character field: Q(ζ10)\Q(\zeta_{10})
Sturm bound: 19201920

Dimensions

The following table gives the dimensions of various subspaces of M4(2100,[χ])M_{4}(2100, [\chi]).

Total New Old
Modular forms 5808 368 5440
Cusp forms 5712 368 5344
Eisenstein series 96 0 96

Trace form

368q24q5+828q9+24q1572q1984q21+440q23+540q25496q29960q3356q35+1400q37224q41+216q453440q4718032q49+1632q51+5280q97+O(q100) 368 q - 24 q^{5} + 828 q^{9} + 24 q^{15} - 72 q^{19} - 84 q^{21} + 440 q^{23} + 540 q^{25} - 496 q^{29} - 960 q^{33} - 56 q^{35} + 1400 q^{37} - 224 q^{41} + 216 q^{45} - 3440 q^{47} - 18032 q^{49} + 1632 q^{51}+ \cdots - 5280 q^{97}+O(q^{100}) Copy content Toggle raw display

Decomposition of S4new(2100,[χ])S_{4}^{\mathrm{new}}(2100, [\chi]) into newform subspaces

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

Decomposition of S4old(2100,[χ])S_{4}^{\mathrm{old}}(2100, [\chi]) into lower level spaces