Properties

Label 8026.2
Level 8026
Weight 2
Dimension 671006
Nonzero newspaces 8
Sturm bound 8052084

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Defining parameters

Level: \( N \) = \( 8026 = 2 \cdot 4013 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 8 \)
Sturm bound: \(8052084\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8026))\).

Total New Old
Modular forms 2017033 671006 1346027
Cusp forms 2009010 671006 1338004
Eisenstein series 8023 0 8023

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8026))\)

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
8026.2.a \(\chi_{8026}(1, \cdot)\) 8026.2.a.a 71 1
8026.2.a.b 81
8026.2.a.c 86
8026.2.a.d 96
8026.2.b \(\chi_{8026}(8025, \cdot)\) n/a 334 1
8026.2.d \(\chi_{8026}(53, \cdot)\) n/a 5360 16
8026.2.e \(\chi_{8026}(831, \cdot)\) n/a 5344 16
8026.2.f \(\chi_{8026}(263, \cdot)\) n/a 19430 58
8026.2.h \(\chi_{8026}(119, \cdot)\) n/a 19372 58
8026.2.j \(\chi_{8026}(7, \cdot)\) n/a 310880 928
8026.2.k \(\chi_{8026}(9, \cdot)\) n/a 309952 928

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(8026))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(8026)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(4013))\)\(^{\oplus 2}\)