Space of modular forms of level 2790, weight 2, and Character 2790.bw

• Label: 2790.2.bw
• Level: $2790$
• Weight: $2$
• Character orbit: 2790.bw
• Rep. character: $\chi_{2790}(89,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $256$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2790 = 2 \cdot 3^{2} \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2790.bw (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 465 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2790, [\chi])\).

	Total	New	Old
Modular forms	2368	256	2112
Cusp forms	2240	256	1984
Eisenstein series	128	0	128

Trace form

\( 256 q - 64 q^{4} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2790, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2790, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2790, [\chi]) \cong \)