Space of modular forms of level 275, weight 6, and Character 275.bg

• Label: 275.6.bg
• Level: $275$
• Weight: $6$
• Character orbit: 275.bg
• Rep. character: $\chi_{275}(13,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $1184$
• Sturm bound: $180$

Defining parameters

Level:	\( N \)	\(=\)	\( 275 = 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	275.bg (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 275 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(180\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(275, [\chi])\).

	Total	New	Old
Modular forms	1216	1216	0
Cusp forms	1184	1184	0
Eisenstein series	32	32	0

Trace form

1184 * q - 10 * q^2 - 4 * q^3 - 10 * q^4 - 72 * q^5 + 370 * q^7 - 330 * q^8 + 300 * q^9 - 2840 * q^10 - 6 * q^11 - 2508 * q^12 - 10 * q^13 - 3106 * q^15 + 72702 * q^16 + 1900 * q^17 + 2420 * q^18 - 10 * q^19 + 3926 * q^20 - 2690 * q^22 - 10674 * q^23 + 10240 * q^24 - 4874 * q^25 - 12 * q^26 - 4336 * q^27 - 17930 * q^28 - 10 * q^29 - 6850 * q^30 - 2 * q^31 - 16014 * q^33 - 20 * q^34 + 33620 * q^35 - 1418508 * q^36 + 7392 * q^37 + 88760 * q^38 - 38960 * q^39 - 10 * q^40 - 10 * q^41 + 126410 * q^42 - 89330 * q^43 + 51720 * q^44 - 22738 * q^45 - 5278 * q^47 + 114566 * q^48 + 137940 * q^49 - 10 * q^50 - 20 * q^51 - 10250 * q^52 - 5994 * q^53 - 119280 * q^54 + 69376 * q^55 + 2036 * q^56 - 287930 * q^57 - 163050 * q^58 + 251014 * q^60 - 10 * q^61 - 10 * q^62 - 168080 * q^63 - 418570 * q^64 + 79580 * q^65 + 46650 * q^66 + 163702 * q^67 - 10 * q^68 - 176230 * q^69 + 248120 * q^70 - 96152 * q^71 + 527280 * q^72 - 10 * q^73 + 60610 * q^74 - 13046 * q^75 + 341150 * q^77 + 144420 * q^78 + 1193420 * q^79 - 605962 * q^80 + 1820452 * q^81 + 97750 * q^82 - 77910 * q^83 + 155500 * q^84 - 65910 * q^85 - 2 * q^86 + 785140 * q^87 - 211330 * q^88 + 76430 * q^89 + 590070 * q^90 - 2 * q^91 + 331742 * q^92 - 236768 * q^93 - 20 * q^94 - 305520 * q^95 - 10250 * q^96 + 306752 * q^97 + 168070 * q^98

Decomposition of \(S_{6}^{\mathrm{new}}(275, [\chi])\) into newform subspaces

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