Space of modular forms of level 2100, weight 4, and Character 2100.i

• Label: 2100.4.i
• Level: $2100$
• Weight: $4$
• Character orbit: 2100.i
• Rep. character: $\chi_{2100}(1399,\cdot)$
• Character field: $\Q$
• Dimension: $432$
• Sturm bound: $1920$

Defining parameters

Level:	\( N \)	\(=\)	\( 2100 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2100.i (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 140 \)
Character field:			\(\Q\)
Sturm bound:			\(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2100, [\chi])\).

	Total	New	Old
Modular forms	1464	432	1032
Cusp forms	1416	432	984
Eisenstein series	48	0	48

Trace form

\( 432 q - 3888 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(2100, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2100, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2100, [\chi]) \cong \)