Space of modular forms of level 6036, weight 2, and Character 6036.o

• Label: 6036.2.o
• Level: $6036$
• Weight: $2$
• Character orbit: 6036.o
• Rep. character: $\chi_{6036}(11,\cdot)$
• Character field: $\Q(\zeta_{502})$
• Dimension: $251000$
• Sturm bound: $2016$

Defining parameters

Level:	\( N \)	\(=\)	\( 6036 = 2^{2} \cdot 3 \cdot 503 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	6036.o (of order \(502\) and degree \(250\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 6036 \)
Character field:			\(\Q(\zeta_{502})\)
Sturm bound:			\(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6036, [\chi])\).

	Total	New	Old
Modular forms	253000	253000	0
Cusp forms	251000	251000	0
Eisenstein series	2000	2000	0

Decomposition of \(S_{2}^{\mathrm{new}}(6036, [\chi])\) into newform subspaces

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