Space of modular forms of level 1045, weight 4, and Character 1045.e

• Label: 1045.4.e
• Level: $1045$
• Weight: $4$
• Character orbit: 1045.e
• Rep. character: $\chi_{1045}(1044,\cdot)$
• Character field: $\Q$
• Dimension: $356$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1045 = 5 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1045.e (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1045 \)
Character field:			\(\Q\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1045, [\chi])\).

	Total	New	Old
Modular forms	364	364	0
Cusp forms	356	356	0
Eisenstein series	8	8	0

Trace form

\( 356 q - 1416 q^{4} - 12 q^{5} + 3124 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1045, [\chi])\) into newform subspaces

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