Space of modular forms of level 2448, weight 2, and Character 2448.ef

• Label: 2448.2.ef
• Level: $2448$
• Weight: $2$
• Character orbit: 2448.ef
• Rep. character: $\chi_{2448}(125,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $1152$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2448.ef (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 816 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2448, [\chi])\).

	Total	New	Old
Modular forms	3520	1152	2368
Cusp forms	3392	1152	2240
Eisenstein series	128	0	128

Trace form

\( 1152 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2448, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2448, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(816, [\chi])\)\(^{\oplus 2}\)