Space of modular forms of level 3060, weight 2, and Character 3060.bs

• Label: 3060.2.bs
• Level: $3060$
• Weight: $2$
• Character orbit: 3060.bs
• Rep. character: $\chi_{3060}(1631,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $864$
• Sturm bound: $1296$

Defining parameters

Level:	\( N \)	\(=\)	\( 3060 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3060.bs (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 612 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1296\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3060, [\chi])\).

	Total	New	Old
Modular forms	1312	864	448
Cusp forms	1280	864	416
Eisenstein series	32	0	32

Trace form

\( 864 q + 8 q^{9} + 20 q^{18} - 432 q^{25} + 72 q^{33} - 6 q^{34} - 40 q^{42} - 432 q^{49} + 24 q^{64} + 52 q^{66} - 108 q^{68} + 32 q^{69} - 60 q^{72} - 12 q^{76} - 48 q^{77} - 40 q^{81} + 76 q^{84} - 16 q^{93}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3060, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3060, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3060, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(612, [\chi])\)\(^{\oplus 2}\)