Properties

Label 23.7
Level 23
Weight 7
Dimension 121
Nonzero newspaces 2
Newform subspaces 4
Sturm bound 308
Trace bound 1

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Defining parameters

Level: N N = 23 23
Weight: k k = 7 7
Nonzero newspaces: 2 2
Newform subspaces: 4 4
Sturm bound: 308308
Trace bound: 11

Dimensions

The following table gives the dimensions of various subspaces of M7(Γ1(23))M_{7}(\Gamma_1(23)).

Total New Old
Modular forms 143 143 0
Cusp forms 121 121 0
Eisenstein series 22 22 0

Trace form

121q11q211q311q411q511q611q711q811q911q1011q1111q1211q1311q14+10461q1531691q1611451q17+13365q18+16096091q99+O(q100) 121 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} + 10461 q^{15} - 31691 q^{16} - 11451 q^{17} + 13365 q^{18}+ \cdots - 16096091 q^{99}+O(q^{100}) Copy content Toggle raw display

Decomposition of S7new(Γ1(23))S_{7}^{\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
23.7.b χ23(22,)\chi_{23}(22, \cdot) 23.7.b.a 1 1
23.7.b.b 2
23.7.b.c 8
23.7.d χ23(5,)\chi_{23}(5, \cdot) 23.7.d.a 110 10