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Properties

Label 7.73
Level 7
Weight 73
Dimension 141
Nonzero newspaces 2
Newform subspaces 3
Sturm bound 292
Trace bound 1

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Defining parameters

Level: \( N \) = \( 7 \)
Weight: \( k \) = \( 73 \)
Nonzero newspaces: \( 2 \)
Newform subspaces: \( 3 \)
Sturm bound: \(292\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{73}(\Gamma_1(7))\).

Total New Old
Modular forms 147 147 0
Cusp forms 141 141 0
Eisenstein series 6 6 0

Trace form

\( 141 q - 3 q^{2} - 3 q^{3} - 3 q^{4} + 10\!\cdots\!25 q^{5} + 36\!\cdots\!17 q^{7} + 22\!\cdots\!49 q^{8} - 46\!\cdots\!67 q^{9} + 75\!\cdots\!96 q^{10} - 38\!\cdots\!31 q^{11} + 26\!\cdots\!60 q^{12} + 28\!\cdots\!33 q^{14}+ \cdots + 10\!\cdots\!86 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{73}^{\mathrm{new}}(\Gamma_1(7))\)

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
7.73.b \(\chi_{7}(6, \cdot)\) 7.73.b.a 1 1
7.73.b.b 46
7.73.d \(\chi_{7}(3, \cdot)\) 7.73.d.a 94 2