Space of modular forms of level 2352, weight 2, and Character 2352.y

• Label: 2352.2.y
• Level: $2352$
• Weight: $2$
• Character orbit: 2352.y
• Rep. character: $\chi_{2352}(293,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $624$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2352 = 2^{4} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2352.y (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 336 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2352, [\chi])\).

	Total	New	Old
Modular forms	928	656	272
Cusp forms	864	624	240
Eisenstein series	64	32	32

Trace form

\( 624 q + 8 q^{4} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2352, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2352, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2352, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(336, [\chi])\)\(^{\oplus 2}\)