Space of modular forms of level 560, weight 6, and Character 560.bn

• Label: 560.6.bn
• Level: $560$
• Weight: $6$
• Character orbit: 560.bn
• Rep. character: $\chi_{560}(13,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $952$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 560 = 2^{4} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	560.bn (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 560 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(560, [\chi])\).

	Total	New	Old
Modular forms	968	968	0
Cusp forms	952	952	0
Eisenstein series	16	16	0

Trace form

952 * q - 4 * q^2 + 488 * q^8 + 75816 * q^9 - 8 * q^11 - 8 * q^15 - 8 * q^16 - 1104 * q^18 - 4 * q^21 + 124 * q^22 + 12412 * q^28 - 11724 * q^30 + 4816 * q^32 - 8640 * q^35 - 8200 * q^36 - 3888 * q^39 - 30196 * q^42 - 8 * q^43 - 43320 * q^44 - 8 * q^46 - 4 * q^50 - 8 * q^51 - 8 * q^53 - 4 * q^56 - 1944 * q^57 + 20852 * q^58 - 80160 * q^60 - 67232 * q^63 - 8 * q^65 + 178504 * q^67 + 76320 * q^70 + 122392 * q^72 + 333176 * q^74 + 67224 * q^77 - 628300 * q^78 + 5826152 * q^81 + 80928 * q^84 - 12504 * q^85 + 261672 * q^86 - 213136 * q^88 + 164716 * q^91 + 342184 * q^92 - 76856 * q^95 + 422092 * q^98 - 1944 * q^99

Decomposition of \(S_{6}^{\mathrm{new}}(560, [\chi])\) into newform subspaces

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