Space of modular forms of level 8011, weight 2, and Character 8011.o

• Label: 8011.2.o
• Level: $8011$
• Weight: $2$
• Character orbit: 8011.o
• Rep. character: $\chi_{8011}(22,\cdot)$
• Character field: $\Q(\zeta_{267})$
• Dimension: $117216$
• Sturm bound: $1335$

Defining parameters

Level:	\( N \)	\(=\)	\( 8011 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	8011.o (of order \(267\) and degree \(176\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8011 \)
Character field:			\(\Q(\zeta_{267})\)
Sturm bound:			\(1335\)

Dimensions

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

	Total	New	Old
Modular forms	117568	117568	0
Cusp forms	117216	117216	0
Eisenstein series	352	352	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.