Space of modular forms of level 1260, weight 2, and Character 1260.bx

• Label: 1260.2.bx
• Level: $1260$
• Weight: $2$
• Character orbit: 1260.bx
• Rep. character: $\chi_{1260}(779,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $560$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1260 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1260.bx (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1260 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1260, [\chi])\).

	Total	New	Old
Modular forms	592	592	0
Cusp forms	560	560	0
Eisenstein series	32	32	0

Trace form

\( 560 q - 4 q^{4} - 6 q^{5} - 4 q^{6} - 4 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1260, [\chi])\) into newform subspaces

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