Properties

Label 4527.2
Level 4527
Weight 2
Dimension 598635
Nonzero newspaces 8
Sturm bound 3036096

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Defining parameters

Level: \( N \) = \( 4527 = 3^{2} \cdot 503 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 8 \)
Sturm bound: \(3036096\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4527))\).

Total New Old
Modular forms 763040 603143 159897
Cusp forms 755009 598635 156374
Eisenstein series 8031 4508 3523

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4527))\)

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
4527.2.a \(\chi_{4527}(1, \cdot)\) 4527.2.a.a 1 1
4527.2.a.b 1
4527.2.a.c 1
4527.2.a.d 1
4527.2.a.e 1
4527.2.a.f 1
4527.2.a.g 1
4527.2.a.h 2
4527.2.a.i 2
4527.2.a.j 3
4527.2.a.k 10
4527.2.a.l 13
4527.2.a.m 14
4527.2.a.n 24
4527.2.a.o 26
4527.2.a.p 26
4527.2.a.q 41
4527.2.a.r 41
4527.2.c \(\chi_{4527}(4526, \cdot)\) n/a 168 1
4527.2.e \(\chi_{4527}(1510, \cdot)\) n/a 1004 2
4527.2.g \(\chi_{4527}(1508, \cdot)\) n/a 1004 2
4527.2.i \(\chi_{4527}(28, \cdot)\) n/a 52250 250
4527.2.k \(\chi_{4527}(17, \cdot)\) n/a 42000 250
4527.2.m \(\chi_{4527}(4, \cdot)\) n/a 251000 500
4527.2.o \(\chi_{4527}(5, \cdot)\) n/a 251000 500

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4527))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(4527)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(503))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1509))\)\(^{\oplus 2}\)