Space of modular forms of level 1710, weight 2, and Character 1710.cv

• Label: 1710.2.cv
• Level: $1710$
• Weight: $2$
• Character orbit: 1710.cv
• Rep. character: $\chi_{1710}(29,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $720$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 1710 = 2 \cdot 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1710.cv (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 855 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1710, [\chi])\).

	Total	New	Old
Modular forms	2208	720	1488
Cusp forms	2112	720	1392
Eisenstein series	96	0	96

Trace form

\( 720 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1710, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1710, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1710, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(855, [\chi])\)\(^{\oplus 2}\)