Properties

Label 6041.2
Level 6041
Weight 2
Dimension 1423161
Nonzero newspaces 8
Sturm bound 5958144

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Defining parameters

Level: \( N \) = \( 6041 = 7 \cdot 863 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 8 \)
Sturm bound: \(5958144\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6041))\).

Total New Old
Modular forms 1494708 1431773 62935
Cusp forms 1484365 1423161 61204
Eisenstein series 10343 8612 1731

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6041))\)

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
6041.2.a \(\chi_{6041}(1, \cdot)\) 6041.2.a.a 1 1
6041.2.a.b 2
6041.2.a.c 83
6041.2.a.d 101
6041.2.a.e 112
6041.2.a.f 132
6041.2.c \(\chi_{6041}(6040, \cdot)\) n/a 574 1
6041.2.e \(\chi_{6041}(3453, \cdot)\) n/a 1148 2
6041.2.g \(\chi_{6041}(1725, \cdot)\) n/a 1148 2
6041.2.i \(\chi_{6041}(8, \cdot)\) n/a 185760 430
6041.2.k \(\chi_{6041}(13, \cdot)\) n/a 246820 430
6041.2.m \(\chi_{6041}(2, \cdot)\) n/a 493640 860
6041.2.o \(\chi_{6041}(5, \cdot)\) n/a 493640 860

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6041))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(6041)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(863))\)\(^{\oplus 2}\)