Space of modular forms of level 121, weight 8, and Character 121.e

• Label: 121.8.e
• Level: $121$
• Weight: $8$
• Character orbit: 121.e
• Rep. character: $\chi_{121}(12,\cdot)$
• Character field: $\Q(\zeta_{11})$
• Dimension: $760$
• Sturm bound: $88$

Defining parameters

Level:	\( N \)	\(=\)	\( 121 = 11^{2} \)
Weight:	\( k \)	\(=\)	\( 8 \)
Character orbit:	\([\chi]\)	\(=\)	121.e (of order \(11\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 121 \)
Character field:			\(\Q(\zeta_{11})\)
Sturm bound:			\(88\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{8}(121, [\chi])\).

	Total	New	Old
Modular forms	780	780	0
Cusp forms	760	760	0
Eisenstein series	20	20	0

Trace form

760 * q - 3 * q^2 + 6 * q^3 - 4991 * q^4 - 7 * q^5 - 2281 * q^6 + 1047 * q^7 - 71 * q^8 + 541646 * q^9 - 3473 * q^10 + 23892 * q^11 - 26564 * q^12 - 3494 * q^13 + 1885 * q^14 - 11502 * q^15 - 349015 * q^16 - 45843 * q^17 + 41410 * q^18 - 32575 * q^19 - 23463 * q^20 - 70974 * q^21 + 42669 * q^22 + 445525 * q^23 + 652824 * q^24 - 1082495 * q^25 + 267885 * q^26 + 181380 * q^27 + 490693 * q^28 - 413129 * q^29 + 232758 * q^30 + 252787 * q^31 - 11203 * q^32 - 62667 * q^33 + 302033 * q^34 - 639489 * q^35 - 3618490 * q^36 + 226312 * q^37 - 3041585 * q^38 + 1360584 * q^39 + 2442710 * q^40 - 6237 * q^41 - 2779630 * q^42 - 980425 * q^43 - 3692062 * q^44 + 1221527 * q^45 - 4279857 * q^46 + 833901 * q^47 + 5417418 * q^48 - 3973333 * q^49 + 4370879 * q^50 - 2298759 * q^51 + 2122539 * q^52 + 11243219 * q^53 + 12046636 * q^54 - 3739142 * q^55 - 7627334 * q^56 + 2762873 * q^57 + 22516028 * q^58 + 5255913 * q^59 - 2321712 * q^60 + 5708555 * q^61 + 4869770 * q^62 + 1547600 * q^63 - 14430231 * q^64 - 15748548 * q^65 - 14114210 * q^66 + 7803416 * q^67 - 18917827 * q^68 - 2022376 * q^69 + 35551865 * q^70 - 2009203 * q^71 + 3091980 * q^72 + 481889 * q^73 + 13520395 * q^74 - 17675534 * q^75 + 40361154 * q^76 - 47220437 * q^77 + 21396744 * q^78 + 7919599 * q^79 - 79856370 * q^80 + 370117568 * q^81 - 14340557 * q^82 + 6503695 * q^83 - 14073268 * q^84 - 46170347 * q^85 - 536801 * q^86 + 9040852 * q^87 - 123962839 * q^88 + 24730260 * q^89 - 115288631 * q^90 - 76635106 * q^91 - 151978847 * q^92 + 19121999 * q^93 + 27740538 * q^94 + 40412805 * q^95 - 89712460 * q^96 - 40809836 * q^97 - 113210035 * q^98 + 27261047 * q^99

Decomposition of \(S_{8}^{\mathrm{new}}(121, [\chi])\) into newform subspaces

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