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Properties

Label 7.5
Level 7
Weight 5
Dimension 5
Nonzero newspaces 2
Newform subspaces 2
Sturm bound 20
Trace bound 1

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Defining parameters

Level: \( N \) = \( 7 \)
Weight: \( k \) = \( 5 \)
Nonzero newspaces: \( 2 \)
Newform subspaces: \( 2 \)
Sturm bound: \(20\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{5}(\Gamma_1(7))\).

Total New Old
Modular forms 11 11 0
Cusp forms 5 5 0
Eisenstein series 6 6 0

Trace form

\( 5 q - 3 q^{2} + 6 q^{3} - 35 q^{4} - 30 q^{5} + 49 q^{7} + 273 q^{8} + 57 q^{9} - 204 q^{10} - 264 q^{11} - 588 q^{12} + 609 q^{14} + 468 q^{15} + 137 q^{16} - 246 q^{17} + 297 q^{18} + 642 q^{19} - 1050 q^{21}+ \cdots - 6318 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{5}^{\mathrm{new}}(\Gamma_1(7))\)

We only show spaces with odd parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
7.5.b \(\chi_{7}(6, \cdot)\) 7.5.b.a 1 1
7.5.d \(\chi_{7}(3, \cdot)\) 7.5.d.a 4 2