Space of modular forms of level 3185, weight 2, and Character 3185.fm

• Label: 3185.2.fm
• Level: $3185$
• Weight: $2$
• Character orbit: 3185.fm
• Rep. character: $\chi_{3185}(389,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $4656$
• Sturm bound: $784$

Defining parameters

Level:	\( N \)	\(=\)	\( 3185 = 5 \cdot 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3185.fm (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3185 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(784\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3185, [\chi])\).

	Total	New	Old
Modular forms	4752	4752	0
Cusp forms	4656	4656	0
Eisenstein series	96	96	0

Trace form

\( 4656 q + 332 q^{4} - 432 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3185, [\chi])\) into newform subspaces

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