Space of modular forms of level 2550, weight 2, and Character 2550.cr

• Label: 2550.2.cr
• Level: $2550$
• Weight: $2$
• Character orbit: 2550.cr
• Rep. character: $\chi_{2550}(11,\cdot)$
• Character field: $\Q(\zeta_{80})$
• Dimension: $5760$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 2550 = 2 \cdot 3 \cdot 5^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2550.cr (of order \(80\) and degree \(32\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1275 \)
Character field:			\(\Q(\zeta_{80})\)
Sturm bound:			\(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2550, [\chi])\).

	Total	New	Old
Modular forms	17536	5760	11776
Cusp forms	17024	5760	11264
Eisenstein series	512	0	512

Trace form

\( 5760 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2550, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2550, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1275, [\chi])\)\(^{\oplus 2}\)