Space of modular forms of level 8281, weight 2, and Character 8281.de

• Label: 8281.2.de
• Level: $8281$
• Weight: $2$
• Character orbit: 8281.de
• Rep. character: $\chi_{8281}(92,\cdot)$
• Character field: $\Q(\zeta_{91})$
• Dimension: $60912$
• Sturm bound: $1698$

Defining parameters

Level:	\( N \)	\(=\)	\( 8281 = 7^{2} \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	8281.de (of order \(91\) and degree \(72\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8281 \)
Character field:			\(\Q(\zeta_{91})\)
Sturm bound:			\(1698\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8281, [\chi])\).

	Total	New	Old
Modular forms	61200	61200	0
Cusp forms	60912	60912	0
Eisenstein series	288	288	0

Decomposition of \(S_{2}^{\mathrm{new}}(8281, [\chi])\) into newform subspaces

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