Space of modular forms of level 8752, weight 2, and Character 8752.cn

• Label: 8752.2.cn
• Level: $8752$
• Weight: $2$
• Character orbit: 8752.cn
• Rep. character: $\chi_{8752}(13,\cdot)$
• Character field: $\Q(\zeta_{84})$
• Dimension: $26256$
• Sturm bound: $2192$

Defining parameters

Level:	\( N \)	\(=\)	\( 8752 = 2^{4} \cdot 547 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	8752.cn (of order \(84\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8752 \)
Character field:			\(\Q(\zeta_{84})\)
Sturm bound:			\(2192\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8752, [\chi])\).

	Total	New	Old
Modular forms	26352	26352	0
Cusp forms	26256	26256	0
Eisenstein series	96	96	0

Decomposition of \(S_{2}^{\mathrm{new}}(8752, [\chi])\) into newform subspaces

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