Space of modular forms of level 2028, weight 2, and Character 2028.m

• Label: 2028.2.m
• Level: $2028$
• Weight: $2$
• Character orbit: 2028.m
• Rep. character: $\chi_{2028}(437,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $104$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2028 = 2^{2} \cdot 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2028.m (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 39 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2028, [\chi])\).

	Total	New	Old
Modular forms	812	104	708
Cusp forms	644	104	540
Eisenstein series	168	0	168

Trace form

\( 104 q - 4 q^{7} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2028, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2028, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2028, [\chi]) \cong \)