Space of modular forms of level 1716, weight 2, and Character 1716.br

• Label: 1716.2.br
• Level: $1716$
• Weight: $2$
• Character orbit: 1716.br
• Rep. character: $\chi_{1716}(311,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $1312$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1716 = 2^{2} \cdot 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1716.br (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1716 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1716, [\chi])\).

	Total	New	Old
Modular forms	1376	1376	0
Cusp forms	1312	1312	0
Eisenstein series	64	64	0

Trace form

\( 1312 q - 12 q^{4} - 12 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1716, [\chi])\) into newform subspaces

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