Space of modular forms of level 3024, weight 2, and Character 3024.x

• Label: 3024.2.x
• Level: $3024$
• Weight: $2$
• Character orbit: 3024.x
• Rep. character: $\chi_{3024}(811,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $512$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3024 = 2^{4} \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3024.x (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 112 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3024, [\chi])\).

	Total	New	Old
Modular forms	1176	512	664
Cusp forms	1128	512	616
Eisenstein series	48	0	48

Trace form

\( 512 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3024, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3024, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3024, [\chi]) \cong \)