Space of modular forms of level 2070, weight 3, and Character 2070.m

• Label: 2070.3.m
• Level: $2070$
• Weight: $3$
• Character orbit: 2070.m
• Rep. character: $\chi_{2070}(413,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $192$
• Sturm bound: $1296$

Defining parameters

Level:	\( N \)	\(=\)	\( 2070 = 2 \cdot 3^{2} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	2070.m (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 345 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1296\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(2070, [\chi])\).

	Total	New	Old
Modular forms	1760	192	1568
Cusp forms	1696	192	1504
Eisenstein series	64	0	64

Trace form

\( 192 q + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(2070, [\chi])\) into newform subspaces

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

Decomposition of \(S_{3}^{\mathrm{old}}(2070, [\chi])\) into lower level spaces

\( S_{3}^{\mathrm{old}}(2070, [\chi]) \cong \)