Space of modular forms of level 3120, weight 2, and Character 3120.ka

• Label: 3120.2.ka
• Level: $3120$
• Weight: $2$
• Character orbit: 3120.ka
• Rep. character: $\chi_{3120}(509,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $2656$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 3120 = 2^{4} \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3120.ka (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3120 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3120, [\chi])\).

	Total	New	Old
Modular forms	2720	2720	0
Cusp forms	2656	2656	0
Eisenstein series	64	64	0

Trace form

\( 2656 q - 24 q^{4} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3120, [\chi])\) into newform subspaces

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