Space of modular forms of level 6023, weight 2, and Character 6023.y

• Label: 6023.2.y
• Level: $6023$
• Weight: $2$
• Character orbit: 6023.y
• Rep. character: $\chi_{6023}(18,\cdot)$
• Character field: $\Q(\zeta_{316})$
• Dimension: $82368$
• Sturm bound: $1060$

Defining parameters

Level:	\( N \)	\(=\)	\( 6023 = 19 \cdot 317 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6023.y (of order \(316\) and degree \(156\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6023 \)
Character field:			\(\Q(\zeta_{316})\)
Sturm bound:			\(1060\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6023, [\chi])\).

	Total	New	Old
Modular forms	82992	82992	0
Cusp forms	82368	82368	0
Eisenstein series	624	624	0

Decomposition of \(S_{2}^{\mathrm{new}}(6023, [\chi])\) into newform subspaces

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