Space of modular forms of level 255, weight 4, and Character 255.ba

• Label: 255.4.ba
• Level: $255$
• Weight: $4$
• Character orbit: 255.ba
• Rep. character: $\chi_{255}(2,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $416$
• Sturm bound: $144$

Defining parameters

Level:	\( N \)	\(=\)	\( 255 = 3 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	255.ba (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 255 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(144\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(255, [\chi])\).

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

Trace form

416 * q - 4 * q^3 + 1600 * q^4 - 8 * q^6 - 8 * q^7 - 72 * q^10 - 144 * q^12 - 96 * q^13 + 164 * q^15 + 5856 * q^16 - 8 * q^18 - 48 * q^19 - 360 * q^22 - 280 * q^24 + 616 * q^25 - 820 * q^27 + 280 * q^28 - 64 * q^30 + 416 * q^31 - 8 * q^33 - 128 * q^34 - 520 * q^36 - 1160 * q^37 - 736 * q^39 - 1584 * q^40 + 984 * q^42 - 916 * q^45 - 1168 * q^46 + 1180 * q^48 - 768 * q^49 - 952 * q^51 - 2576 * q^52 - 64 * q^54 + 912 * q^55 - 1616 * q^57 - 4296 * q^58 + 2968 * q^60 - 1840 * q^61 + 2616 * q^63 + 22224 * q^64 - 8 * q^66 - 112 * q^67 - 2952 * q^70 - 280 * q^72 + 1480 * q^73 + 104 * q^75 - 1424 * q^76 - 1516 * q^78 - 2784 * q^79 - 5640 * q^82 - 8264 * q^85 - 8136 * q^88 - 9192 * q^90 - 2032 * q^91 - 2264 * q^94 - 2248 * q^96 - 2120 * q^97 + 4656 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(255, [\chi])\) into newform subspaces

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