Space of modular forms of level 9025, weight 2, and Character 9025.cn

• Label: 9025.2.cn
• Level: $9025$
• Weight: $2$
• Character orbit: 9025.cn
• Rep. character: $\chi_{9025}(8,\cdot)$
• Character field: $\Q(\zeta_{1140})$
• Dimension: $273024$
• Sturm bound: $1900$

Defining parameters

Level:	\( N \)	\(=\)	\( 9025 = 5^{2} \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	9025.cn (of order \(1140\) and degree \(288\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 9025 \)
Character field:			\(\Q(\zeta_{1140})\)
Sturm bound:			\(1900\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9025, [\chi])\).

	Total	New	Old
Modular forms	274176	274176	0
Cusp forms	273024	273024	0
Eisenstein series	1152	1152	0

Decomposition of \(S_{2}^{\mathrm{new}}(9025, [\chi])\) into newform subspaces

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