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

• Label: 2415.2.de
• Level: $2415$
• Weight: $2$
• Character orbit: 2415.de
• Rep. character: $\chi_{2415}(59,\cdot)$
• Character field: $\Q(\zeta_{66})$
• Dimension: $7520$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 2415 = 3 \cdot 5 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2415.de (of order \(66\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2415 \)
Character field:			\(\Q(\zeta_{66})\)
Sturm bound:			\(768\)

Dimensions

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

	Total	New	Old
Modular forms	7840	7840	0
Cusp forms	7520	7520	0
Eisenstein series	320	320	0

Trace form

\( 7520 q + 332 q^{4} - 14 q^{9} + O(q^{10}) \)

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

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