Space of modular forms of level 24200, weight 2, and Character 24200.le

• Label: 24200.2.le
• Level: $24200$
• Weight: $2$
• Character orbit: 24200.le
• Rep. character: $\chi_{24200}(173,\cdot)$
• Character field: $\Q(\zeta_{220})$
• Dimension: $316480$
• Sturm bound: $7920$

Defining parameters

Level:	\( N \)	\(=\)	\( 24200 = 2^{3} \cdot 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	24200.le (of order \(220\) and degree \(80\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 24200 \)
Character field:			\(\Q(\zeta_{220})\)
Sturm bound:			\(7920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(24200, [\chi])\).

	Total	New	Old
Modular forms	317120	317120	0
Cusp forms	316480	316480	0
Eisenstein series	640	640	0

Decomposition of \(S_{2}^{\mathrm{new}}(24200, [\chi])\) into newform subspaces

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