Properties

Label 6046.2
Level 6046
Weight 2
Dimension 380771
Nonzero newspaces 2
Sturm bound 4569264

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Defining parameters

Level: \( N \) = \( 6046 = 2 \cdot 3023 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 2 \)
Sturm bound: \(4569264\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6046))\).

Total New Old
Modular forms 1145338 380771 764567
Cusp forms 1139295 380771 758524
Eisenstein series 6043 0 6043

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6046))\)

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
6046.2.a \(\chi_{6046}(1, \cdot)\) 6046.2.a.a 1 1
6046.2.a.b 1
6046.2.a.c 2
6046.2.a.d 55
6046.2.a.e 56
6046.2.a.f 67
6046.2.a.g 69
6046.2.c \(\chi_{6046}(3, \cdot)\) n/a 380520 1510

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6046))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(6046)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(3023))\)\(^{\oplus 2}\)