Space of modular forms of level 8027, weight 2, and Character 8027.y

• Label: 8027.2.y
• Level: $8027$
• Weight: $2$
• Character orbit: 8027.y
• Rep. character: $\chi_{8027}(123,\cdot)$
• Character field: $\Q(\zeta_{66})$
• Dimension: $13960$
• Sturm bound: $1400$

Defining parameters

Level:	\( N \)	\(=\)	\( 8027 = 23 \cdot 349 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	8027.y (of order \(66\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 8027 \)
Character field:			\(\Q(\zeta_{66})\)
Sturm bound:			\(1400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8027, [\chi])\).

	Total	New	Old
Modular forms	14040	14040	0
Cusp forms	13960	13960	0
Eisenstein series	80	80	0

Decomposition of \(S_{2}^{\mathrm{new}}(8027, [\chi])\) into newform subspaces

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