Space of modular forms of level 2415, weight 2, and Character 2415.cb

• Label: 2415.2.cb
• Level: $2415$
• Weight: $2$
• Character orbit: 2415.cb
• Rep. character: $\chi_{2415}(104,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $3760$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 2415 = 3 \cdot 5 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2415.cb (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2415 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2415, [\chi])\).

	Total	New	Old
Modular forms	3920	3920	0
Cusp forms	3760	3760	0
Eisenstein series	160	160	0

Trace form

\( 3760 q - 440 q^{4} - 28 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2415, [\chi])\) into newform subspaces

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