Space of modular forms of level 1872, weight 2, and Character 1872.do

• Label: 1872.2.do
• Level: $1872$
• Weight: $2$
• Character orbit: 1872.do
• Rep. character: $\chi_{1872}(815,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $168$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1872 = 2^{4} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1872.do (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 468 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1872, [\chi])\).

	Total	New	Old
Modular forms	696	168	528
Cusp forms	648	168	480
Eisenstein series	48	0	48

Trace form

\( 168 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1872, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1872, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1872, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(468, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(936, [\chi])\)\(^{\oplus 2}\)