Space of modular forms of level 2015, weight 2, and Character 2015.bh

• Label: 2015.2.bh
• Level: $2015$
• Weight: $2$
• Character orbit: 2015.bh
• Rep. character: $\chi_{2015}(1369,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $440$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 2015 = 5 \cdot 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2015.bh (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2015 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2015, [\chi])\).

	Total	New	Old
Modular forms	456	456	0
Cusp forms	440	440	0
Eisenstein series	16	16	0

Trace form

\( 440 q - 220 q^{4} + 214 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2015, [\chi])\) into newform subspaces

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