Space of modular forms of level 1900, weight 2, and Character 1900.f

• Label: 1900.2.f
• Level: $1900$
• Weight: $2$
• Character orbit: 1900.f
• Rep. character: $\chi_{1900}(151,\cdot)$
• Character field: $\Q$
• Dimension: $184$
• Sturm bound: $600$

Defining parameters

Level:	\( N \)	\(=\)	\( 1900 = 2^{2} \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1900.f (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 76 \)
Character field:			\(\Q\)
Sturm bound:			\(600\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1900, [\chi])\).

	Total	New	Old
Modular forms	312	196	116
Cusp forms	288	184	104
Eisenstein series	24	12	12

Trace form

\( 184 q + 6 q^{4} - 6 q^{6} + 180 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1900, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1900, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1900, [\chi]) \cong \)