Space of modular forms of level 2005, weight 2, and Character 2005.j

• Label: 2005.2.j
• Level: $2005$
• Weight: $2$
• Character orbit: 2005.j
• Rep. character: $\chi_{2005}(1584,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $400$
• Sturm bound: $402$

Defining parameters

Level:	\( N \)	\(=\)	\( 2005 = 5 \cdot 401 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2005.j (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2005 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(402\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2005, [\chi])\).

	Total	New	Old
Modular forms	408	408	0
Cusp forms	400	400	0
Eisenstein series	8	8	0

Trace form

\( 400 q + 392 q^{4} - 8 q^{6} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2005, [\chi])\) into newform subspaces

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