Space of modular forms of level 2496, weight 2, and Character 2496.ef

• Label: 2496.2.ef
• Level: $2496$
• Weight: $2$
• Character orbit: 2496.ef
• Rep. character: $\chi_{2496}(181,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $1792$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2496 = 2^{6} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2496.ef (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 832 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2496, [\chi])\).

	Total	New	Old
Modular forms	3616	1792	1824
Cusp forms	3552	1792	1760
Eisenstein series	64	0	64

Trace form

\( 1792 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2496, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2496, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2496, [\chi]) \cong \)