Space of modular forms of level 1925, weight 2, and Character 1925.h

• Label: 1925.2.h
• Level: $1925$
• Weight: $2$
• Character orbit: 1925.h
• Rep. character: $\chi_{1925}(1924,\cdot)$
• Character field: $\Q$
• Dimension: $140$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1925 = 5^{2} \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1925.h (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 385 \)
Character field:			\(\Q\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1925, [\chi])\).

	Total	New	Old
Modular forms	252	148	104
Cusp forms	228	140	88
Eisenstein series	24	8	16

Trace form

\( 140 q + 144 q^{4} + 148 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1925, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1925, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1925, [\chi]) \cong \)