Space of modular forms of level 1368, weight 2, and Character 1368.cf

• Label: 1368.2.cf
• Level: $1368$
• Weight: $2$
• Character orbit: 1368.cf
• Rep. character: $\chi_{1368}(113,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $120$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1368 = 2^{3} \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1368.cf (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 171 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1368, [\chi])\).

	Total	New	Old
Modular forms	496	120	376
Cusp forms	464	120	344
Eisenstein series	32	0	32

Trace form

\( 120 q - 6 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1368, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1368, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1368, [\chi]) \cong \)