Properties

Label 1.54
Level 1
Weight 54
Dimension 4
Nonzero newspaces 1
Newform subspaces 1
Sturm bound 4
Trace bound 0

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Defining parameters

Level: N N = 1 1
Weight: k k = 54 54
Nonzero newspaces: 1 1
Newform subspaces: 1 1
Sturm bound: 44
Trace bound: 00

Dimensions

The following table gives the dimensions of various subspaces of M54(Γ1(1))M_{54}(\Gamma_1(1)).

Total New Old
Modular forms 5 5 0
Cusp forms 4 4 0
Eisenstein series 1 1 0

Trace form

4q68476320q21048411007280q3+78 ⁣ ⁣28q445 ⁣ ⁣00q5+36 ⁣ ⁣28q622 ⁣ ⁣00q7+13 ⁣ ⁣40q8+11 ⁣ ⁣12q9+23 ⁣ ⁣00q10++20 ⁣ ⁣84q99+O(q100) 4 q - 68476320 q^{2} - 1048411007280 q^{3} + 78\!\cdots\!28 q^{4} - 45\!\cdots\!00 q^{5} + 36\!\cdots\!28 q^{6} - 22\!\cdots\!00 q^{7} + 13\!\cdots\!40 q^{8} + 11\!\cdots\!12 q^{9} + 23\!\cdots\!00 q^{10}+ \cdots + 20\!\cdots\!84 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S54new(Γ1(1))S_{54}^{\mathrm{new}}(\Gamma_1(1))

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

Label χ\chi Newforms Dimension χ\chi degree
1.54.a χ1(1,)\chi_{1}(1, \cdot) 1.54.a.a 4 1