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

• Label: 3332.2.e
• Level: $3332$
• Weight: $2$
• Character orbit: 3332.e
• Rep. character: $\chi_{3332}(3331,\cdot)$
• Character field: $\Q$
• Dimension: $352$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 3332 = 2^{2} \cdot 7^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3332.e (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 476 \)
Character field:			\(\Q\)
Sturm bound:			\(1008\)

Dimensions

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

	Total	New	Old
Modular forms	520	368	152
Cusp forms	488	352	136
Eisenstein series	32	16	16

Trace form

\( 352 q + 4 q^{2} + 4 q^{4} - 8 q^{8} - 328 q^{9} + O(q^{10}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(3332, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3332, [\chi]) \cong \)