Space of modular forms of level 3600, weight 2, and Character 3600.ga

• Label: 3600.2.ga
• Level: $3600$
• Weight: $2$
• Character orbit: 3600.ga
• Rep. character: $\chi_{3600}(61,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $11456$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 3600 = 2^{4} \cdot 3^{2} \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3600.ga (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3600 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3600, [\chi])\).

	Total	New	Old
Modular forms	11584	11584	0
Cusp forms	11456	11456	0
Eisenstein series	128	128	0

Trace form

\( 11456 q - 6 q^{2} - 12 q^{3} - 6 q^{4} - 8 q^{5} - 12 q^{6} - 24 q^{8} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3600, [\chi])\) into newform subspaces

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