Space of modular forms of level 1859, weight 4, and Character 1859.bp

• Label: 1859.4.bp
• Level: $1859$
• Weight: $4$
• Character orbit: 1859.bp
• Rep. character: $\chi_{1859}(8,\cdot)$
• Character field: $\Q(\zeta_{260})$
• Dimension: $52224$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 1859 = 11 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1859.bp (of order \(260\) and degree \(96\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1859 \)
Character field:			\(\Q(\zeta_{260})\)
Sturm bound:			\(728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1859, [\chi])\).

	Total	New	Old
Modular forms	52608	52608	0
Cusp forms	52224	52224	0
Eisenstein series	384	384	0

Trace form

52224 * q - 120 * q^2 - 66 * q^3 - 78 * q^4 - 72 * q^5 - 120 * q^6 - 120 * q^7 - 120 * q^8 + 9654 * q^9 + 20 * q^11 - 208 * q^12 - 160 * q^13 + 142 * q^14 - 348 * q^15 - 17282 * q^16 - 130 * q^17 - 120 * q^18 - 120 * q^19 + 762 * q^20 - 452 * q^22 - 1100 * q^24 - 78 * q^25 - 576 * q^26 - 906 * q^27 - 120 * q^28 - 110 * q^29 - 130 * q^30 + 140 * q^31 - 834 * q^33 - 2300 * q^34 + 2490 * q^35 - 78 * q^36 - 408 * q^37 - 78 * q^38 - 1960 * q^39 + 1170 * q^40 + 2100 * q^41 + 1590 * q^42 - 946 * q^44 - 1336 * q^45 + 120 * q^46 + 832 * q^47 + 1446 * q^48 - 78 * q^49 + 1130 * q^50 - 130 * q^51 - 17520 * q^52 - 6306 * q^53 - 6640 * q^55 - 208 * q^56 - 120 * q^57 - 1320 * q^58 + 868 * q^59 - 10730 * q^60 - 110 * q^61 - 130 * q^62 - 5110 * q^63 - 78 * q^64 + 21098 * q^66 + 49656 * q^67 - 110 * q^68 + 2028 * q^69 - 9370 * q^70 + 6276 * q^71 + 4440 * q^72 - 2040 * q^73 - 110 * q^74 + 24362 * q^75 - 104 * q^77 - 34060 * q^78 - 9470 * q^79 + 13108 * q^80 + 78182 * q^81 + 44382 * q^82 - 1540 * q^83 - 9470 * q^84 + 40 * q^85 - 5668 * q^86 + 1560 * q^88 - 15464 * q^89 - 130 * q^90 + 3064 * q^91 + 830 * q^92 + 17216 * q^93 + 15490 * q^94 - 130 * q^95 - 21730 * q^96 - 19380 * q^97 - 3944 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(1859, [\chi])\) into newform subspaces

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