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Properties

Label 1823.1
Level 1823
Weight 1
Dimension 24
Nonzero newspaces 1
Newform subspaces 6
Sturm bound 276944
Trace bound 0

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Defining parameters

Level: \( N \) = \( 1823 \)
Weight: \( k \) = \( 1 \)
Nonzero newspaces: \( 1 \)
Newform subspaces: \( 6 \)
Sturm bound: \(276944\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(1823))\).

Total New Old
Modular forms 935 935 0
Cusp forms 24 24 0
Eisenstein series 911 911 0

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 22 0 2 0

Trace form

\( 24 q + q^{2} - 3 q^{3} + 21 q^{4} - 4 q^{6} - q^{7} - 4 q^{8} + 21 q^{9} + O(q^{10}) \) \( 24 q + q^{2} - 3 q^{3} + 21 q^{4} - 4 q^{6} - q^{7} - 4 q^{8} + 21 q^{9} - q^{11} - 3 q^{12} - q^{13} - 2 q^{14} + 18 q^{16} - 3 q^{17} - 3 q^{18} - 3 q^{19} - 2 q^{21} - 2 q^{22} - 2 q^{24} + 20 q^{25} - 2 q^{26} - 3 q^{28} - 3 q^{29} - 3 q^{32} - 2 q^{33} - 4 q^{34} + 18 q^{36} - 3 q^{37} - 4 q^{38} - 2 q^{39} - 4 q^{42} - 3 q^{44} - 3 q^{48} + 19 q^{49} - 3 q^{50} - 3 q^{52} - 2 q^{54} - 4 q^{56} - 4 q^{58} - 3 q^{63} + 21 q^{64} - 4 q^{66} - 3 q^{68} - 6 q^{72} - 3 q^{73} - 4 q^{74} + q^{75} - 3 q^{76} - 2 q^{77} - 4 q^{78} - 3 q^{79} + 18 q^{81} + q^{83} - 6 q^{84} - 4 q^{88} - 2 q^{91} - 6 q^{96} - 5 q^{98} - 3 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(1823))\)

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
1823.1.b \(\chi_{1823}(1822, \cdot)\) 1823.1.b.a 1 1
1823.1.b.b 2
1823.1.b.c 2
1823.1.b.d 3
1823.1.b.e 4
1823.1.b.f 12
1823.1.d \(\chi_{1823}(5, \cdot)\) None 0 910