Space of modular forms of level 1755, weight 2, and Character 1755.r

• Label: 1755.2.r
• Level: $1755$
• Weight: $2$
• Character orbit: 1755.r
• Rep. character: $\chi_{1755}(161,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $152$
• Sturm bound: $504$

Defining parameters

Level:	\( N \)	\(=\)	\( 1755 = 3^{3} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1755.r (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 39 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(504\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1755, [\chi])\).

	Total	New	Old
Modular forms	528	152	376
Cusp forms	480	152	328
Eisenstein series	48	0	48

Trace form

\( 152 q + 4 q^{7} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1755, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1755, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1755, [\chi]) \cong \)