Space of modular forms of level 4205, weight 2, and Character 4205.y

• Label: 4205.2.y
• Level: $4205$
• Weight: $2$
• Character orbit: 4205.y
• Rep. character: $\chi_{4205}(17,\cdot)$
• Character field: $\Q(\zeta_{116})$
• Dimension: $24248$
• Sturm bound: $870$

Defining parameters

Level:	\( N \)	\(=\)	\( 4205 = 5 \cdot 29^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4205.y (of order \(116\) and degree \(56\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4205 \)
Character field:			\(\Q(\zeta_{116})\)
Sturm bound:			\(870\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4205, [\chi])\).

	Total	New	Old
Modular forms	24472	24472	0
Cusp forms	24248	24248	0
Eisenstein series	224	224	0

Decomposition of \(S_{2}^{\mathrm{new}}(4205, [\chi])\) into newform subspaces

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