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

• Label: 2736.3.hb
• Level: $2736$
• Weight: $3$
• Character orbit: 2736.hb
• Rep. character: $\chi_{2736}(557,\cdot)$
• Character field: $\Q(\zeta_{36})$
• Dimension: $3840$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 2736 = 2^{4} \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	2736.hb (of order \(36\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 912 \)
Character field:			\(\Q(\zeta_{36})\)
Sturm bound:			\(1440\)

Dimensions

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

	Total	New	Old
Modular forms	11616	3840	7776
Cusp forms	11424	3840	7584
Eisenstein series	192	0	192

Trace form

\( 3840 q + O(q^{10}) \)

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

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

Decomposition of \(S_{3}^{\mathrm{old}}(2736, [\chi])\) into lower level spaces

\( S_{3}^{\mathrm{old}}(2736, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(912, [\chi])\)\(^{\oplus 2}\)