Space of modular forms of level 1900, weight 4, and Character 1900.bc

• Label: 1900.4.bc
• Level: $1900$
• Weight: $4$
• Character orbit: 1900.bc
• Rep. character: $\chi_{1900}(379,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $3584$
• Sturm bound: $1200$

Defining parameters

Level:	\( N \)	\(=\)	\( 1900 = 2^{2} \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1900.bc (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1900 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(1200\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1900, [\chi])\).

	Total	New	Old
Modular forms	3616	3616	0
Cusp forms	3584	3584	0
Eisenstein series	32	32	0

Trace form

\( 3584 q - 6 q^{4} - 16 q^{5} - 38 q^{6} + 7980 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1900, [\chi])\) into newform subspaces

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