Space of modular forms of level 2303, weight 1, and Character 2303.v

• Label: 2303.1.v
• Level: $2303$
• Weight: $1$
• Character orbit: 2303.v
• Rep. character: $\chi_{2303}(68,\cdot)$
• Character field: $\Q(\zeta_{138})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $224$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 2303 = 7^{2} \cdot 47 \)
Weight:	\( k \)	\(=\)	\( 1 \)
Character orbit:	\([\chi]\)	\(=\)	2303.v (of order \(138\) and degree \(44\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 329 \)
Character field:			\(\Q(\zeta_{138})\)
Newform subspaces:			\( 0 \)
Sturm bound:			\(224\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2303, [\chi])\).

	Total	New	Old
Modular forms	352	176	176
Cusp forms	0	0	0
Eisenstein series	352	176	176

The following table gives the dimensions of subspaces with specified projective image type.

	\(D_n\)	\(A_4\)	\(S_4\)	\(A_5\)
Dimension	0	0	0	0