Properties

Label 6043.2
Level 6043
Weight 2
Dimension 1518557
Nonzero newspaces 8
Sturm bound 6086308

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Defining parameters

Level: \( N \) = \( 6043 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 8 \)
Sturm bound: \(6086308\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6043))\).

Total New Old
Modular forms 1524598 1524598 0
Cusp forms 1518557 1518557 0
Eisenstein series 6041 6041 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6043))\)

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
6043.2.a \(\chi_{6043}(1, \cdot)\) 6043.2.a.a 1 1
6043.2.a.b 243
6043.2.a.c 259
6043.2.c \(\chi_{6043}(1715, \cdot)\) n/a 1006 2
6043.2.e \(\chi_{6043}(694, \cdot)\) n/a 9036 18
6043.2.g \(\chi_{6043}(64, \cdot)\) n/a 26104 52
6043.2.h \(\chi_{6043}(91, \cdot)\) n/a 18108 36
6043.2.k \(\chi_{6043}(4, \cdot)\) n/a 52312 104
6043.2.m \(\chi_{6043}(9, \cdot)\) n/a 469872 936
6043.2.o \(\chi_{6043}(6, \cdot)\) n/a 941616 1872

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