Space of modular forms of level 8043, weight 2, and Character 8043.v

• Label: 8043.2.v
• Level: $8043$
• Weight: $2$
• Character orbit: 8043.v
• Rep. character: $\chi_{8043}(62,\cdot)$
• Character field: $\Q(\zeta_{382})$
• Dimension: $193800$
• Sturm bound: $2048$

Defining parameters

Level:	\( N \)	\(=\)	\( 8043 = 3 \cdot 7 \cdot 383 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	8043.v (of order \(382\) and degree \(190\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8043 \)
Character field:			\(\Q(\zeta_{382})\)
Sturm bound:			\(2048\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8043, [\chi])\).

	Total	New	Old
Modular forms	195320	195320	0
Cusp forms	193800	193800	0
Eisenstein series	1520	1520	0

Decomposition of \(S_{2}^{\mathrm{new}}(8043, [\chi])\) into newform subspaces

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