Properties

Label 4027.2
Level 4027
Weight 2
Dimension 673685
Nonzero newspaces 8
Sturm bound 2702788

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Defining parameters

Level: \( N \) = \( 4027 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 8 \)
Sturm bound: \(2702788\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4027))\).

Total New Old
Modular forms 677710 677710 0
Cusp forms 673685 673685 0
Eisenstein series 4025 4025 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4027))\)

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
4027.2.a \(\chi_{4027}(1, \cdot)\) 4027.2.a.a 2 1
4027.2.a.b 159
4027.2.a.c 174
4027.2.c \(\chi_{4027}(1820, \cdot)\) n/a 670 2
4027.2.e \(\chi_{4027}(14, \cdot)\) n/a 3340 10
4027.2.g \(\chi_{4027}(130, \cdot)\) n/a 6700 20
4027.2.h \(\chi_{4027}(13, \cdot)\) n/a 20040 60
4027.2.k \(\chi_{4027}(41, \cdot)\) n/a 40200 120
4027.2.m \(\chi_{4027}(4, \cdot)\) n/a 200400 600
4027.2.o \(\chi_{4027}(6, \cdot)\) n/a 402000 1200

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