Properties

Label 7.6
Level 7
Weight 6
Dimension 7
Nonzero newspaces 2
Newform subspaces 3
Sturm bound 24
Trace bound 1

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Defining parameters

Level: \( N \) = \( 7 \)
Weight: \( k \) = \( 6 \)
Nonzero newspaces: \( 2 \)
Newform subspaces: \( 3 \)
Sturm bound: \(24\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_1(7))\).

Total New Old
Modular forms 13 11 2
Cusp forms 7 7 0
Eisenstein series 6 4 2

Trace form

\( 7 q - 3 q^{2} - 12 q^{3} + 61 q^{4} - 36 q^{5} - 222 q^{6} - 119 q^{7} - 177 q^{8} + 891 q^{9} + 1542 q^{10} + 204 q^{11} - 2310 q^{12} - 2338 q^{13} - 1743 q^{14} + 912 q^{15} + 3601 q^{16} + 2424 q^{17}+ \cdots - 161532 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_1(7))\)

We only show spaces with even 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
7.6.a \(\chi_{7}(1, \cdot)\) 7.6.a.a 1 1
7.6.a.b 2
7.6.c \(\chi_{7}(2, \cdot)\) 7.6.c.a 4 2