Space of modular forms of level 2320, weight 2, and Character 2320.bs

• Label: 2320.2.bs
• Level: $2320$
• Weight: $2$
• Character orbit: 2320.bs
• Rep. character: $\chi_{2320}(133,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $712$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2320 = 2^{4} \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2320.bs (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2320 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2320, [\chi])\).

	Total	New	Old
Modular forms	728	728	0
Cusp forms	712	712	0
Eisenstein series	16	16	0

Trace form

712 * q - 4 * q^3 + 2 * q^10 - 8 * q^11 - 4 * q^12 - 8 * q^14 - 4 * q^15 - 8 * q^16 + 40 * q^18 - 4 * q^20 - 8 * q^21 - 8 * q^22 - 4 * q^26 + 8 * q^27 - 36 * q^30 - 8 * q^31 + 16 * q^34 + 24 * q^36 - 4 * q^37 - 36 * q^38 + 24 * q^39 - 42 * q^40 - 20 * q^42 - 4 * q^43 - 24 * q^44 + 16 * q^45 + 20 * q^46 - 8 * q^47 - 36 * q^48 - 38 * q^50 + 12 * q^52 - 20 * q^55 - 28 * q^56 - 24 * q^57 + 20 * q^58 - 14 * q^60 + 44 * q^62 - 48 * q^64 - 8 * q^65 - 4 * q^66 + 76 * q^70 - 12 * q^72 - 16 * q^73 - 32 * q^74 + 52 * q^75 + 20 * q^76 - 24 * q^77 - 28 * q^78 - 36 * q^80 - 664 * q^81 - 24 * q^82 - 8 * q^83 - 20 * q^84 + 20 * q^85 + 24 * q^86 - 12 * q^87 - 52 * q^88 + 60 * q^90 + 20 * q^92 + 48 * q^94 - 4 * q^95 - 8 * q^97 - 24 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2320, [\chi])\) into newform subspaces

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