Space of modular forms of level 1064, weight 2, and Character 1064.cf

• Label: 1064.2.cf
• Level: $1064$
• Weight: $2$
• Character orbit: 1064.cf
• Rep. character: $\chi_{1064}(341,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $312$
• Sturm bound: $320$

Defining parameters

Level:	\( N \)	\(=\)	\( 1064 = 2^{3} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1064.cf (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1064 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(320\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1064, [\chi])\).

	Total	New	Old
Modular forms	328	328	0
Cusp forms	312	312	0
Eisenstein series	16	16	0

Trace form

\( 312 q - 2 q^{4} - 8 q^{7} + 144 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1064, [\chi])\) into newform subspaces

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