Space of modular forms of level 7488, weight 2, and Character 7488.my

• Label: 7488.2.my
• Level: $7488$
• Weight: $2$
• Character orbit: 7488.my
• Rep. character: $\chi_{7488}(605,\cdot)$
• Character field: $\Q(\zeta_{48})$
• Dimension: $21440$
• Sturm bound: $2688$

Defining parameters

Level:	\( N \)	\(=\)	\( 7488 = 2^{6} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	7488.my (of order \(48\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 7488 \)
Character field:			\(\Q(\zeta_{48})\)
Sturm bound:			\(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7488, [\chi])\).

	Total	New	Old
Modular forms	21568	21568	0
Cusp forms	21440	21440	0
Eisenstein series	128	128	0

Decomposition of \(S_{2}^{\mathrm{new}}(7488, [\chi])\) into newform subspaces

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