Space of modular forms of level 880, weight 4, and Character 880.bl

• Label: 880.4.bl
• Level: $880$
• Weight: $4$
• Character orbit: 880.bl
• Rep. character: $\chi_{880}(373,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $856$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 880 = 2^{4} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	880.bl (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 880 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(880, [\chi])\).

	Total	New	Old
Modular forms	872	872	0
Cusp forms	856	856	0
Eisenstein series	16	16	0

Trace form

856 * q - 8 * q^3 - 4 * q^5 + 7560 * q^9 - 4 * q^11 - 64 * q^12 - 8 * q^15 - 8 * q^16 - 4 * q^20 - 72 * q^22 - 552 * q^26 - 224 * q^27 - 16 * q^31 - 4 * q^33 - 376 * q^34 - 520 * q^36 - 8 * q^37 + 1000 * q^38 - 944 * q^42 - 440 * q^44 - 612 * q^45 - 8 * q^47 - 112 * q^48 + 328 * q^56 + 688 * q^58 - 688 * q^59 - 356 * q^60 - 3020 * q^66 - 216 * q^69 + 2648 * q^70 + 2096 * q^75 + 712 * q^78 - 4016 * q^80 + 64136 * q^81 + 1816 * q^82 + 1616 * q^86 + 1912 * q^88 - 856 * q^91 - 9648 * q^92 - 224 * q^93 - 8 * q^97 - 2764 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(880, [\chi])\) into newform subspaces

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