Space of modular forms of level 4024, weight 2, and Character 4024.o

• Label: 4024.2.o
• Level: $4024$
• Weight: $2$
• Character orbit: 4024.o
• Rep. character: $\chi_{4024}(13,\cdot)$
• Character field: $\Q(\zeta_{502})$
• Dimension: $125500$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 4024 = 2^{3} \cdot 503 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	4024.o (of order \(502\) and degree \(250\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 4024 \)
Character field:			\(\Q(\zeta_{502})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4024, [\chi])\).

	Total	New	Old
Modular forms	126500	126500	0
Cusp forms	125500	125500	0
Eisenstein series	1000	1000	0

Decomposition of \(S_{2}^{\mathrm{new}}(4024, [\chi])\) into newform subspaces

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