Space of modular forms of level 3450, weight 2, and Character 3450.r

• Label: 3450.2.r
• Level: $3450$
• Weight: $2$
• Character orbit: 3450.r
• Rep. character: $\chi_{3450}(689,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $960$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 3450 = 2 \cdot 3 \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3450.r (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1725 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3450, [\chi])\).

	Total	New	Old
Modular forms	2912	960	1952
Cusp forms	2848	960	1888
Eisenstein series	64	0	64

Trace form

\( 960 q - 240 q^{4} - 8 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3450, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3450, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3450, [\chi]) \cong \)