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

• Label: 2015.2.gz
• Level: $2015$
• Weight: $2$
• Character orbit: 2015.gz
• Rep. character: $\chi_{2015}(12,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $3520$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 2015 = 5 \cdot 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2015.gz (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2015 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(448\)

Dimensions

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

	Total	New	Old
Modular forms	3648	3648	0
Cusp forms	3520	3520	0
Eisenstein series	128	128	0

Trace form

\( 3520 q - 28 q^{3} + O(q^{10}) \)

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

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