Space of modular forms of level 3420, weight 2, and Character 3420.gj

• Label: 3420.2.gj
• Level: $3420$
• Weight: $2$
• Character orbit: 3420.gj
• Rep. character: $\chi_{3420}(79,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $4272$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 3420 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3420.gj (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3420 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3420, [\chi])\).

	Total	New	Old
Modular forms	4368	4368	0
Cusp forms	4272	4272	0
Eisenstein series	96	96	0

Trace form

\( 4272 q - 6 q^{4} - 6 q^{5} - 12 q^{6} - 24 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3420, [\chi])\) into newform subspaces

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