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

• Label: 1045.2.z
• Level: $1045$
• Weight: $2$
• Character orbit: 1045.z
• Rep. character: $\chi_{1045}(94,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $464$
• Sturm bound: $240$

Defining parameters

Level:	\( N \)	\(=\)	\( 1045 = 5 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1045.z (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1045 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(240\)

Dimensions

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

	Total	New	Old
Modular forms	496	496	0
Cusp forms	464	464	0
Eisenstein series	32	32	0

Trace form

\( 464 q + 100 q^{4} - 8 q^{5} - 20 q^{6} - 120 q^{9} + O(q^{10}) \)

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

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