Properties

Label 610.1
Level 610
Weight 1
Dimension 0
Nonzero newspaces 0
Newform subspaces 0
Sturm bound 22320

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Defining parameters

Level: \( N \) = \( 610 = 2 \cdot 5 \cdot 61 \)
Weight: \( k \) = \( 1 \)
Nonzero newspaces: \( 0 \)
Newform subspaces: \( 0 \)
Sturm bound: \(22320\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(610))\).

Total New Old
Modular forms 480 0 480
Cusp forms 0 0 0
Eisenstein series 480 0 480

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