Space of modular forms of level 1840, weight 2, and Character 1840.cr

• Label: 1840.2.cr
• Level: $1840$
• Weight: $2$
• Character orbit: 1840.cr
• Rep. character: $\chi_{1840}(127,\cdot)$
• Character field: $\Q(\zeta_{44})$
• Dimension: $1440$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1840.cr (of order \(44\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 460 \)
Character field:			\(\Q(\zeta_{44})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1840, [\chi])\).

	Total	New	Old
Modular forms	6000	1440	4560
Cusp forms	5520	1440	4080
Eisenstein series	480	0	480

Trace form

\( 1440 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1840, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1840, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1840, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 2}\)