Space of modular forms of level 2624, weight 2, and Character 2624.r

• Label: 2624.2.r
• Level: $2624$
• Weight: $2$
• Character orbit: 2624.r
• Rep. character: $\chi_{2624}(993,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $168$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 2624 = 2^{6} \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2624.r (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 328 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2624, [\chi])\).

	Total	New	Old
Modular forms	696	168	528
Cusp forms	648	168	480
Eisenstein series	48	0	48

Trace form

\( 168 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2624, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2624, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2624, [\chi]) \cong \)