Space of modular forms of level 6800, weight 2, and Character 6800.je

• Label: 6800.2.je
• Level: $6800$
• Weight: $2$
• Character orbit: 6800.je
• Rep. character: $\chi_{6800}(603,\cdot)$
• Character field: $\Q(\zeta_{40})$
• Dimension: $17216$
• Sturm bound: $2160$

Defining parameters

Level:	\( N \)	\(=\)	\( 6800 = 2^{4} \cdot 5^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6800.je (of order \(40\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6800 \)
Character field:			\(\Q(\zeta_{40})\)
Sturm bound:			\(2160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6800, [\chi])\).

	Total	New	Old
Modular forms	17344	17344	0
Cusp forms	17216	17216	0
Eisenstein series	128	128	0

Decomposition of \(S_{2}^{\mathrm{new}}(6800, [\chi])\) into newform subspaces

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