Properties

Label 8011.2.p
Level $8011$
Weight $2$
Character orbit 8011.p
Rep. character $\chi_{8011}(5,\cdot)$
Character field $\Q(\zeta_{445})$
Dimension $234432$
Sturm bound $1335$

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Defining parameters

Level: \( N \) \(=\) \( 8011 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8011.p (of order \(445\) and degree \(352\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8011 \)
Character field: \(\Q(\zeta_{445})\)
Sturm bound: \(1335\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8011, [\chi])\).

Total New Old
Modular forms 235136 235136 0
Cusp forms 234432 234432 0
Eisenstein series 704 704 0

Decomposition of \(S_{2}^{\mathrm{new}}(8011, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.