Space of modular forms of level 1848, weight 2, and Character 1848.dc

• Label: 1848.2.dc
• Level: $1848$
• Weight: $2$
• Character orbit: 1848.dc
• Rep. character: $\chi_{1848}(125,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $1504$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 1848 = 2^{3} \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1848.dc (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1848 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1848, [\chi])\).

	Total	New	Old
Modular forms	1568	1568	0
Cusp forms	1504	1504	0
Eisenstein series	64	64	0

Trace form

\( 1504 q - 12 q^{4} - 12 q^{7} - 12 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1848, [\chi])\) into newform subspaces

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