Space of modular forms of level 1003, weight 2, and Character 1003.i

• Label: 1003.2.i
• Level: $1003$
• Weight: $2$
• Character orbit: 1003.i
• Rep. character: $\chi_{1003}(58,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $704$
• Sturm bound: $180$

Defining parameters

Level:	\( N \)	\(=\)	\( 1003 = 17 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1003.i (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1003 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(180\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1003, [\chi])\).

	Total	New	Old
Modular forms	736	736	0
Cusp forms	704	704	0
Eisenstein series	32	32	0

Trace form

\( 704 q - 16 q^{3} - 16 q^{4} - 16 q^{5} - 16 q^{7} - 16 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1003, [\chi])\) into newform subspaces

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