Space of modular forms of level 1045, weight 2, and Character 1045.s

• Label: 1045.2.s
• Level: $1045$
• Weight: $2$
• Character orbit: 1045.s
• Rep. character: $\chi_{1045}(164,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $232$
• Sturm bound: $240$

Defining parameters

Level:	\( N \)	\(=\)	\( 1045 = 5 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1045.s (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1045 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1045, [\chi])\).

	Total	New	Old
Modular forms	248	248	0
Cusp forms	232	232	0
Eisenstein series	16	16	0

Trace form

\( 232 q + 108 q^{4} - 4 q^{5} - 112 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1045, [\chi])\) into newform subspaces

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