Space of modular forms of level 2700, weight 2, and Character 2700.h

• Label: 2700.2.h
• Level: $2700$
• Weight: $2$
• Character orbit: 2700.h
• Rep. character: $\chi_{2700}(2699,\cdot)$
• Character field: $\Q$
• Dimension: $144$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 2700 = 2^{2} \cdot 3^{3} \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2700.h (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 60 \)
Character field:			\(\Q\)
Sturm bound:			\(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2700, [\chi])\).

	Total	New	Old
Modular forms	576	144	432
Cusp forms	504	144	360
Eisenstein series	72	0	72

Trace form

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

Decomposition of \(S_{2}^{\mathrm{new}}(2700, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2700, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2700, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(60, [\chi])\)\(^{\oplus 6}\)