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

• Label: 1064.2.e
• Level: $1064$
• Weight: $2$
• Character orbit: 1064.e
• Rep. character: $\chi_{1064}(379,\cdot)$
• Character field: $\Q$
• Dimension: $120$
• Sturm bound: $320$

Defining parameters

Level:	\( N \)	\(=\)	\( 1064 = 2^{3} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1064.e (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 152 \)
Character field:			\(\Q\)
Sturm bound:			\(320\)

Dimensions

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

	Total	New	Old
Modular forms	164	120	44
Cusp forms	156	120	36
Eisenstein series	8	0	8

Trace form

\( 120 q - 8 q^{4} + 8 q^{6} - 120 q^{9} + O(q^{10}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1064, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1064, [\chi]) \cong \)