Space of modular forms of level 2850, weight 2, and Character 2850.c

• Label: 2850.2.c
• Level: $2850$
• Weight: $2$
• Character orbit: 2850.c
• Rep. character: $\chi_{2850}(2849,\cdot)$
• Character field: $\Q$
• Dimension: $120$
• Sturm bound: $1200$

Defining parameters

Level:	\( N \)	\(=\)	\( 2850 = 2 \cdot 3 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2850.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 285 \)
Character field:			\(\Q\)
Sturm bound:			\(1200\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2850, [\chi])\).

	Total	New	Old
Modular forms	624	120	504
Cusp forms	576	120	456
Eisenstein series	48	0	48

Trace form

\( 120 q - 120 q^{4} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2850, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2850, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2850, [\chi]) \cong \)