Space of modular forms of level 2520, weight 2, and Character 2520.ie

• Label: 2520.2.ie
• Level: $2520$
• Weight: $2$
• Character orbit: 2520.ie
• Rep. character: $\chi_{2520}(467,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $768$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2520.ie (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 840 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

	Total	New	Old
Modular forms	2368	768	1600
Cusp forms	2240	768	1472
Eisenstein series	128	0	128

Trace form

\( 768 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2520, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2520, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2520, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(840, [\chi])\)\(^{\oplus 2}\)