Space of modular forms of level 1911, weight 2, and Character 1911.ck

• Label: 1911.2.ck
• Level: $1911$
• Weight: $2$
• Character orbit: 1911.ck
• Rep. character: $\chi_{1911}(272,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $1536$
• Sturm bound: $522$

Defining parameters

Level:	\( N \)	\(=\)	\( 1911 = 3 \cdot 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1911.ck (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1911 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(522\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1911, [\chi])\).

	Total	New	Old
Modular forms	1584	1584	0
Cusp forms	1536	1536	0
Eisenstein series	48	48	0

Trace form

\( 1536 q - 14 q^{3} - 268 q^{4} - 10 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces

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