Space of modular forms of level 3332, weight 2, and Character 3332.ca

• Label: 3332.2.ca
• Level: $3332$
• Weight: $2$
• Character orbit: 3332.ca
• Rep. character: $\chi_{3332}(271,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $6000$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 3332 = 2^{2} \cdot 7^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3332.ca (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3332 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3332, [\chi])\).

	Total	New	Old
Modular forms	6096	6096	0
Cusp forms	6000	6000	0
Eisenstein series	96	96	0

Trace form

\( 6000 q - 26 q^{2} - 26 q^{4} - 20 q^{8} - 544 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3332, [\chi])\) into newform subspaces

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