Space of modular forms of level 1425, weight 2, and Character 1425.b

• Label: 1425.2.b
• Level: $1425$
• Weight: $2$
• Character orbit: 1425.b
• Rep. character: $\chi_{1425}(1424,\cdot)$
• Character field: $\Q$
• Dimension: $116$
• Sturm bound: $400$

Defining parameters

Level:	\( N \)	\(=\)	\( 1425 = 3 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1425.b (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 285 \)
Character field:			\(\Q\)
Sturm bound:			\(400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1425, [\chi])\).

	Total	New	Old
Modular forms	212	124	88
Cusp forms	188	116	72
Eisenstein series	24	8	16

Trace form

\( 116 q - 96 q^{4} - 12 q^{6} + 4 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1425, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1425, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1425, [\chi]) \cong \)