Properties

Label 6037.2
Level 6037
Weight 2
Dimension 1515540
Nonzero newspaces 8
Sturm bound 6074228

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Defining parameters

Level: \( N \) = \( 6037\( 6037 \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 8 \)
Sturm bound: \(6074228\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6037))\).

Total New Old
Modular forms 1521575 1521575 0
Cusp forms 1515540 1515540 0
Eisenstein series 6035 6035 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6037))\)

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
6037.2.a \(\chi_{6037}(1, \cdot)\) 6037.2.a.a 243 1
6037.2.a.b 259
6037.2.b \(\chi_{6037}(6036, \cdot)\) n/a 502 1
6037.2.c \(\chi_{6037}(509, \cdot)\) n/a 1004 2
6037.2.e \(\chi_{6037}(510, \cdot)\) n/a 1006 2
6037.2.g \(\chi_{6037}(14, \cdot)\) n/a 251502 502
6037.2.h \(\chi_{6037}(4, \cdot)\) n/a 252004 502
6037.2.i \(\chi_{6037}(9, \cdot)\) n/a 504008 1004
6037.2.k \(\chi_{6037}(3, \cdot)\) n/a 505012 1004

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

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database