Space of modular forms of level 1960, weight 2, and Character 1960.by

• Label: 1960.2.by
• Level: $1960$
• Weight: $2$
• Character orbit: 1960.by
• Rep. character: $\chi_{1960}(139,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $1992$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1960 = 2^{3} \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1960.by (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1960 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1960, [\chi])\).

	Total	New	Old
Modular forms	2040	2040	0
Cusp forms	1992	1992	0
Eisenstein series	48	48	0

Trace form

\( 1992 q - 10 q^{4} - 14 q^{6} - 344 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1960, [\chi])\) into newform subspaces

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