Space of modular forms of level 8013, weight 2, and Character 8013.o

• Label: 8013.2.o
• Level: $8013$
• Weight: $2$
• Character orbit: 8013.o
• Rep. character: $\chi_{8013}(881,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $7112$
• Sturm bound: $1781$

Defining parameters

Level:	\( N \)	\(=\)	\( 8013 = 3 \cdot 2671 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	8013.o (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8013 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(1781\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8013, [\chi])\).

	Total	New	Old
Modular forms	7144	7144	0
Cusp forms	7112	7112	0
Eisenstein series	32	32	0

Decomposition of \(S_{2}^{\mathrm{new}}(8013, [\chi])\) into newform subspaces

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