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Properties

Label 2.66
Level 2
Weight 66
Dimension 5
Nonzero newspaces 1
Newform subspaces 2
Sturm bound 16
Trace bound 0

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Defining parameters

Level: \( N \) = \( 2 \)
Weight: \( k \) = \( 66 \)
Nonzero newspaces: \( 1 \)
Newform subspaces: \( 2 \)
Sturm bound: \(16\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{66}(\Gamma_1(2))\).

Total New Old
Modular forms 17 5 12
Cusp forms 15 5 10
Eisenstein series 2 0 2

Trace form

\( 5 q + 4294967296 q^{2} + 41\!\cdots\!04 q^{3} + 92\!\cdots\!80 q^{4} - 70\!\cdots\!50 q^{5} + 78\!\cdots\!20 q^{6} + 70\!\cdots\!88 q^{7} + 79\!\cdots\!36 q^{8} + 42\!\cdots\!65 q^{9} + 33\!\cdots\!00 q^{10}+ \cdots - 94\!\cdots\!20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{66}^{\mathrm{new}}(\Gamma_1(2))\)

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
2.66.a \(\chi_{2}(1, \cdot)\) 2.66.a.a 2 1
2.66.a.b 3

Decomposition of \(S_{66}^{\mathrm{old}}(\Gamma_1(2))\) into lower level spaces

\( S_{66}^{\mathrm{old}}(\Gamma_1(2)) \cong \) \(S_{66}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 2}\)