Properties

Label 2907.2.gc
Level 29072907
Weight 22
Character orbit 2907.gc
Rep. character χ2907(5,)\chi_{2907}(5,\cdot)
Character field Q(ζ144)\Q(\zeta_{144})
Dimension 1708817088
Sturm bound 720720

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Defining parameters

Level: N N == 2907=321719 2907 = 3^{2} \cdot 17 \cdot 19
Weight: k k == 2 2
Character orbit: [χ][\chi] == 2907.gc (of order 144144 and degree 4848)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 2907 2907
Character field: Q(ζ144)\Q(\zeta_{144})
Sturm bound: 720720

Dimensions

The following table gives the dimensions of various subspaces of M2(2907,[χ])M_{2}(2907, [\chi]).

Total New Old
Modular forms 17472 17472 0
Cusp forms 17088 17088 0
Eisenstein series 384 384 0

Trace form

17088q72q248q324q472q548q6+24q748q996q1024q1224q1372q14+96q15192q1896q19144q2048q2124q22+48q99+O(q100) 17088 q - 72 q^{2} - 48 q^{3} - 24 q^{4} - 72 q^{5} - 48 q^{6} + 24 q^{7} - 48 q^{9} - 96 q^{10} - 24 q^{12} - 24 q^{13} - 72 q^{14} + 96 q^{15} - 192 q^{18} - 96 q^{19} - 144 q^{20} - 48 q^{21} - 24 q^{22}+ \cdots - 48 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S2new(2907,[χ])S_{2}^{\mathrm{new}}(2907, [\chi]) into newform subspaces

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