Properties

Label 5077.2
Level 5077
Weight 2
Dimension 1071460
Nonzero newspaces 16
Sturm bound 4295988

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Defining parameters

Level: \( N \) = \( 5077 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 16 \)
Sturm bound: \(4295988\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5077))\).

Total New Old
Modular forms 1076535 1076535 0
Cusp forms 1071460 1071460 0
Eisenstein series 5075 5075 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5077))\)

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
5077.2.a \(\chi_{5077}(1, \cdot)\) 5077.2.a.a 1 1
5077.2.a.b 205
5077.2.a.c 216
5077.2.b \(\chi_{5077}(5076, \cdot)\) n/a 422 1
5077.2.c \(\chi_{5077}(1629, \cdot)\) n/a 842 2
5077.2.e \(\chi_{5077}(1630, \cdot)\) n/a 844 2
5077.2.f \(\chi_{5077}(360, \cdot)\) n/a 2526 6
5077.2.h \(\chi_{5077}(2402, \cdot)\) n/a 2532 6
5077.2.i \(\chi_{5077}(382, \cdot)\) n/a 7596 18
5077.2.k \(\chi_{5077}(321, \cdot)\) n/a 19366 46
5077.2.l \(\chi_{5077}(21, \cdot)\) n/a 7614 18
5077.2.m \(\chi_{5077}(25, \cdot)\) n/a 19412 46
5077.2.o \(\chi_{5077}(89, \cdot)\) n/a 38732 92
5077.2.q \(\chi_{5077}(22, \cdot)\) n/a 38824 92
5077.2.r \(\chi_{5077}(9, \cdot)\) n/a 116196 276
5077.2.t \(\chi_{5077}(3, \cdot)\) n/a 116472 276
5077.2.u \(\chi_{5077}(7, \cdot)\) n/a 349416 828
5077.2.w \(\chi_{5077}(4, \cdot)\) n/a 350244 828

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