Space of modular forms of level 2268, weight 2, and Character 2268.dd

• Label: 2268.2.dd
• Level: $2268$
• Weight: $2$
• Character orbit: 2268.dd
• Rep. character: $\chi_{2268}(155,\cdot)$
• Character field: $\Q(\zeta_{54})$
• Dimension: $5832$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2268 = 2^{2} \cdot 3^{4} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2268.dd (of order \(54\) and degree \(18\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 324 \)
Character field:			\(\Q(\zeta_{54})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2268, [\chi])\).

	Total	New	Old
Modular forms	7848	5832	2016
Cusp forms	7704	5832	1872
Eisenstein series	144	0	144

Trace form

\( 5832 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2268, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2268, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2268, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(324, [\chi])\)\(^{\oplus 2}\)