Properties

Label 8011.2
Level 8011
Weight 2
Dimension 2670001
Nonzero newspaces 12
Sturm bound 10696020

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Defining parameters

Level: \( N \) = \( 8011 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 12 \)
Sturm bound: \(10696020\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8011))\).

Total New Old
Modular forms 2678010 2678010 0
Cusp forms 2670001 2670001 0
Eisenstein series 8009 8009 0

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8011))\)

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
8011.2.a \(\chi_{8011}(1, \cdot)\) 8011.2.a.a 309 1
8011.2.a.b 358
8011.2.c \(\chi_{8011}(89, \cdot)\) n/a 1332 2
8011.2.d \(\chi_{8011}(930, \cdot)\) n/a 2664 4
8011.2.f \(\chi_{8011}(1972, \cdot)\) n/a 4002 6
8011.2.h \(\chi_{8011}(501, \cdot)\) n/a 5328 8
8011.2.k \(\chi_{8011}(52, \cdot)\) n/a 16008 24
8011.2.l \(\chi_{8011}(6, \cdot)\) n/a 58608 88
8011.2.o \(\chi_{8011}(22, \cdot)\) n/a 117216 176
8011.2.p \(\chi_{8011}(5, \cdot)\) n/a 234432 352
8011.2.r \(\chi_{8011}(19, \cdot)\) n/a 352176 528
8011.2.t \(\chi_{8011}(4, \cdot)\) n/a 468864 704
8011.2.w \(\chi_{8011}(7, \cdot)\) n/a 1408704 2112

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