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

• Label: 3420.2.bp
• Level: $3420$
• Weight: $2$
• Character orbit: 3420.bp
• Rep. character: $\chi_{3420}(1379,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1424$
• Sturm bound: $1440$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	1456	1456	0
Cusp forms	1424	1424	0
Eisenstein series	32	32	0

Trace form

\( 1424 q + 2 q^{4} - 10 q^{6} - 4 q^{9} + O(q^{10}) \)

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

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