Space of modular forms of level 4019, weight 2, and Character 4019.i

• Label: 4019.2.i
• Level: $4019$
• Weight: $2$
• Character orbit: 4019.i
• Rep. character: $\chi_{4019}(20,\cdot)$
• Character field: $\Q(\zeta_{287})$
• Dimension: $80160$
• Sturm bound: $670$

Defining parameters

Level:	\( N \)	\(=\)	\( 4019 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4019.i (of order \(287\) and degree \(240\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4019 \)
Character field:			\(\Q(\zeta_{287})\)
Sturm bound:			\(670\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4019, [\chi])\).

	Total	New	Old
Modular forms	80640	80640	0
Cusp forms	80160	80160	0
Eisenstein series	480	480	0

Decomposition of \(S_{2}^{\mathrm{new}}(4019, [\chi])\) into newform subspaces

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