Space of modular forms of level 325, weight 6, and Character 325.y

• Label: 325.6.y
• Level: $325$
• Weight: $6$
• Character orbit: 325.y
• Rep. character: $\chi_{325}(16,\cdot)$
• Character field: $\Q(\zeta_{15})$
• Dimension: $1376$
• Sturm bound: $210$

Defining parameters

Level:	\( N \)	\(=\)	\( 325 = 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	325.y (of order \(15\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 325 \)
Character field:			\(\Q(\zeta_{15})\)
Sturm bound:			\(210\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(325, [\chi])\).

	Total	New	Old
Modular forms	1408	1408	0
Cusp forms	1376	1376	0
Eisenstein series	32	32	0

Trace form

1376 * q + 5 * q^2 - 3 * q^3 + 2685 * q^4 - 131 * q^6 - 8 * q^7 - 908 * q^8 + 13281 * q^9 - 108 * q^10 - 3 * q^11 - 2696 * q^12 + 1854 * q^13 + 3316 * q^14 + 1993 * q^15 + 37193 * q^16 + 1825 * q^17 + 29332 * q^18 - 5271 * q^19 - 2134 * q^20 + 1446 * q^21 + 3096 * q^22 - 2509 * q^23 - 3554 * q^24 - 4428 * q^25 - 17836 * q^26 + 9120 * q^27 + 6205 * q^28 - 9401 * q^29 + 3871 * q^30 - 12 * q^31 - 68222 * q^32 + 28101 * q^33 - 4100 * q^34 + 3256 * q^35 + 188099 * q^36 - 35769 * q^37 + 32596 * q^38 - 18220 * q^39 - 154752 * q^40 - 7890 * q^41 + 87871 * q^42 + 11016 * q^43 - 4236 * q^44 - 123007 * q^45 - 14311 * q^46 + 58206 * q^47 - 42118 * q^48 - 1459816 * q^49 - 100735 * q^50 - 386728 * q^51 - 156233 * q^52 + 164440 * q^53 - 51329 * q^54 - 9832 * q^55 - 131670 * q^56 - 234052 * q^57 - 91063 * q^58 - 1917 * q^59 - 86404 * q^60 - 122815 * q^61 - 118211 * q^62 + 154052 * q^63 - 934780 * q^64 + 52849 * q^65 + 274072 * q^66 - 164811 * q^67 - 64806 * q^68 - 46338 * q^69 + 237658 * q^70 - 5459 * q^71 + 125807 * q^72 - 450404 * q^73 + 379328 * q^74 + 347282 * q^75 + 271738 * q^76 - 154554 * q^77 + 335188 * q^78 + 277956 * q^79 - 259405 * q^80 + 1179851 * q^81 + 1309240 * q^82 - 367782 * q^83 - 138880 * q^84 - 616281 * q^85 + 201876 * q^86 + 91067 * q^87 + 22937 * q^88 - 295548 * q^89 - 600430 * q^90 + 134917 * q^91 + 267060 * q^92 + 326742 * q^93 - 175411 * q^94 + 670443 * q^95 - 59038 * q^96 - 277867 * q^97 + 490358 * q^98 + 158760 * q^99

Decomposition of \(S_{6}^{\mathrm{new}}(325, [\chi])\) into newform subspaces

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