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

• Label: 1425.2.ba
• Level: $1425$
• Weight: $2$
• Character orbit: 1425.ba
• Rep. character: $\chi_{1425}(284,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $784$
• Sturm bound: $400$

Defining parameters

Level:	\( N \)	\(=\)	\( 1425 = 3 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1425.ba (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1425 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(400\)

Dimensions

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

	Total	New	Old
Modular forms	816	816	0
Cusp forms	784	784	0
Eisenstein series	32	32	0

Trace form

\( 784 q + 180 q^{4} - 14 q^{6} - 6 q^{9} + O(q^{10}) \)

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

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