Space of modular forms of level 100447, weight 2, and Character 100447.e

• Label: 100447.2.e
• Level: $100447$
• Weight: $2$
• Character orbit: 100447.e
• Rep. character: $\chi_{100447}(2,\cdot)$
• Character field: $\Q(\zeta_{16741})$
• Dimension: $140097060$
• Sturm bound: $16742$

Defining parameters

Level:	\( N \)	\(=\)	\( 100447 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	100447.e (of order \(16741\) and degree \(16740\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 100447 \)
Character field:			\(\Q(\zeta_{16741})\)
Sturm bound:			\(16742\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(100447, [\chi])\).

	Total	New	Old
Modular forms	140130540	140130540	0
Cusp forms	140097060	140097060	0
Eisenstein series	33480	33480	0

Decomposition of \(S_{2}^{\mathrm{new}}(100447, [\chi])\) into newform subspaces

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