Space of modular forms of level 1340, weight 3, and Character 1340.t

• Label: 1340.3.t
• Level: $1340$
• Weight: $3$
• Character orbit: 1340.t
• Rep. character: $\chi_{1340}(439,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $808$
• Sturm bound: $612$

Defining parameters

Level:	\( N \)	\(=\)	\( 1340 = 2^{2} \cdot 5 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	1340.t (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1340 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(612\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(1340, [\chi])\).

	Total	New	Old
Modular forms	824	824	0
Cusp forms	808	808	0
Eisenstein series	16	16	0

Trace form

\( 808 q - 2 q^{4} - 8 q^{5} - 10 q^{6} + 2360 q^{9} + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(1340, [\chi])\) into newform subspaces

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