Properties

Label 197.14.h
Level 197197
Weight 1414
Character orbit 197.h
Rep. character χ197(4,)\chi_{197}(4,\cdot)
Character field Q(ζ98)\Q(\zeta_{98})
Dimension 89888988
Sturm bound 231231

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Defining parameters

Level: N N == 197 197
Weight: k k == 14 14
Character orbit: [χ][\chi] == 197.h (of order 9898 and degree 4242)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 197 197
Character field: Q(ζ98)\Q(\zeta_{98})
Sturm bound: 231231

Dimensions

The following table gives the dimensions of various subspaces of M14(197,[χ])M_{14}(197, [\chi]).

Total New Old
Modular forms 9072 9072 0
Cusp forms 8988 8988 0
Eisenstein series 84 84 0

Trace form

8988q42q242q3+58576q442q5+653149q6570416q757386q842q917281292q1017362100q11+57302q1242q13238473690q15+616875112q16+54472232989461q99+O(q100) 8988 q - 42 q^{2} - 42 q^{3} + 58576 q^{4} - 42 q^{5} + 653149 q^{6} - 570416 q^{7} - 57386 q^{8} - 42 q^{9} - 17281292 q^{10} - 17362100 q^{11} + 57302 q^{12} - 42 q^{13} - 238473690 q^{15} + 616875112 q^{16}+ \cdots - 54472232989461 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S14new(197,[χ])S_{14}^{\mathrm{new}}(197, [\chi]) into newform subspaces

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