Properties

Label 49.1
Level 49
Weight 1
Dimension 0
Nonzero newspaces 0
Newform subspaces 0
Sturm bound 196

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Defining parameters

Level: \( N \) = \( 49 = 7^{2} \)
Weight: \( k \) = \( 1 \)
Nonzero newspaces: \( 0 \)
Newform subspaces: \( 0 \)
Sturm bound: \(196\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(49))\).

Total New Old
Modular forms 30 24 6
Cusp forms 0 0 0
Eisenstein series 30 24 6

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

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