Space of modular forms of level 2736, weight 3, and Character 2736.dr

• Label: 2736.3.dr
• Level: $2736$
• Weight: $3$
• Character orbit: 2736.dr
• Rep. character: $\chi_{2736}(227,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $3824$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 2736 = 2^{4} \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	2736.dr (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2736 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(2736, [\chi])\).

	Total	New	Old
Modular forms	3856	3856	0
Cusp forms	3824	3824	0
Eisenstein series	32	32	0

Trace form

\( 3824 q - 4 q^{4} - 12 q^{5} - 8 q^{6} - 8 q^{7} + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(2736, [\chi])\) into newform subspaces

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