Space of modular forms of level 72, weight 21, and Character 72.j

• Label: 72.21.j
• Level: $72$
• Weight: $21$
• Character orbit: 72.j
• Rep. character: $\chi_{72}(5,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $476$
• Sturm bound: $252$

Defining parameters

Level:	\( N \)	\(=\)	\( 72 = 2^{3} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 21 \)
Character orbit:	\([\chi]\)	\(=\)	72.j (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 72 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(252\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{21}(72, [\chi])\).

	Total	New	Old
Modular forms	484	484	0
Cusp forms	476	476	0
Eisenstein series	8	8	0

Trace form

\( 476 q - 3 q^{2} - q^{4} + 63440717 q^{6} - 2 q^{7} - 4 q^{9} + O(q^{10}) \)

Decomposition of \(S_{21}^{\mathrm{new}}(72, [\chi])\) into newform subspaces

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