Properties

Label 23.31
Level 23
Weight 31
Dimension 649
Nonzero newspaces 2
Newform subspaces 4
Sturm bound 1364
Trace bound 1

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Defining parameters

Level: N N = 23 23
Weight: k k = 31 31
Nonzero newspaces: 2 2
Newform subspaces: 4 4
Sturm bound: 13641364
Trace bound: 11

Dimensions

The following table gives the dimensions of various subspaces of M31(Γ1(23))M_{31}(\Gamma_1(23)).

Total New Old
Modular forms 671 671 0
Cusp forms 649 649 0
Eisenstein series 22 22 0

Trace form

649q11q211q311q411q511q611q711q811q911q1011q1111q1211q1311q14+18 ⁣ ⁣81q15+29 ⁣ ⁣89q16++52 ⁣ ⁣89q99+O(q100) 649 q - 11 q^{2} - 11 q^{3} - 11 q^{4} - 11 q^{5} - 11 q^{6} - 11 q^{7} - 11 q^{8} - 11 q^{9} - 11 q^{10} - 11 q^{11} - 11 q^{12} - 11 q^{13} - 11 q^{14} + 18\!\cdots\!81 q^{15} + 29\!\cdots\!89 q^{16}+ \cdots + 52\!\cdots\!89 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S31new(Γ1(23))S_{31}^{\mathrm{new}}(\Gamma_1(23))

We only show spaces with odd 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
23.31.b χ23(22,)\chi_{23}(22, \cdot) 23.31.b.a 1 1
23.31.b.b 2
23.31.b.c 56
23.31.d χ23(5,)\chi_{23}(5, \cdot) 23.31.d.a 590 10