Space of modular forms of level 4719, weight 2, and Character 4719.cz

• Label: 4719.2.cz
• Level: $4719$
• Weight: $2$
• Character orbit: 4719.cz
• Rep. character: $\chi_{4719}(89,\cdot)$
• Character field: $\Q(\zeta_{132})$
• Dimension: $24480$
• Sturm bound: $1232$

Defining parameters

Level:	\( N \)	\(=\)	\( 4719 = 3 \cdot 11^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4719.cz (of order \(132\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4719 \)
Character field:			\(\Q(\zeta_{132})\)
Sturm bound:			\(1232\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4719, [\chi])\).

	Total	New	Old
Modular forms	24800	24800	0
Cusp forms	24480	24480	0
Eisenstein series	320	320	0

Decomposition of \(S_{2}^{\mathrm{new}}(4719, [\chi])\) into newform subspaces

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