Properties

Label 6047.2
Level 6047
Weight 2
Dimension 1520570
Nonzero newspaces 2
Sturm bound 6094368

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Defining parameters

Level: \( N \) = \( 6047 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 2 \)
Sturm bound: \(6094368\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6047))\).

Total New Old
Modular forms 1526615 1526615 0
Cusp forms 1520570 1520570 0
Eisenstein series 6045 6045 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6047))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list the newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
6047.2.a \(\chi_{6047}(1, \cdot)\) 6047.2.a.a 217 1
6047.2.a.b 287
6047.2.c \(\chi_{6047}(2, \cdot)\) n/a 1520066 3022

"n/a" means that newforms for that character have not been added to the database yet