Properties

Label 700.6.bq
Level 700700
Weight 66
Character orbit 700.bq
Rep. character χ700(31,)\chi_{700}(31,\cdot)
Character field Q(ζ30)\Q(\zeta_{30})
Dimension 47684768
Sturm bound 720720

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Defining parameters

Level: N N == 700=22527 700 = 2^{2} \cdot 5^{2} \cdot 7
Weight: k k == 6 6
Character orbit: [χ][\chi] == 700.bq (of order 3030 and degree 88)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 700 700
Character field: Q(ζ30)\Q(\zeta_{30})
Sturm bound: 720720

Dimensions

The following table gives the dimensions of various subspaces of M6(700,[χ])M_{6}(700, [\chi]).

Total New Old
Modular forms 4832 4832 0
Cusp forms 4768 4768 0
Eisenstein series 64 64 0

Trace form

4768q3q23q424q5750q8+47622q9+789q109q12+1272q143q1618q17+350q18+1446q21+116q221482q241372q25216q26++943536q98+O(q100) 4768 q - 3 q^{2} - 3 q^{4} - 24 q^{5} - 750 q^{8} + 47622 q^{9} + 789 q^{10} - 9 q^{12} + 1272 q^{14} - 3 q^{16} - 18 q^{17} + 350 q^{18} + 1446 q^{21} + 116 q^{22} - 1482 q^{24} - 1372 q^{25} - 216 q^{26}+ \cdots + 943536 q^{98}+O(q^{100}) Copy content Toggle raw display

Decomposition of S6new(700,[χ])S_{6}^{\mathrm{new}}(700, [\chi]) into newform subspaces

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