Space of modular forms of level 121, weight 6, and Character 121.c

• Label: 121.6.c
• Level: $121$
• Weight: $6$
• Character orbit: 121.c
• Rep. character: $\chi_{121}(3,\cdot)$
• Character field: $\Q(\zeta_{5})$
• Dimension: $164$
• Sturm bound: $66$

Defining parameters

Level:	\( N \)	\(=\)	\( 121 = 11^{2} \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	121.c (of order \(5\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 11 \)
Character field:			\(\Q(\zeta_{5})\)
Sturm bound:			\(66\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(121, [\chi])\).

	Total	New	Old
Modular forms	244	196	48
Cusp forms	196	164	32
Eisenstein series	48	32	16

Trace form

164 * q + q^2 + 23 * q^3 - 567 * q^4 + 39 * q^5 - 121 * q^6 - 196 * q^7 - 527 * q^8 - 2336 * q^9 + 672 * q^10 + 1778 * q^12 - 1162 * q^13 - 1180 * q^14 - 1261 * q^15 - 13699 * q^16 + 22 * q^17 - 834 * q^18 + 3236 * q^19 + 9270 * q^20 + 7772 * q^21 + 18964 * q^23 - 13233 * q^24 - 32964 * q^25 - 12284 * q^26 - 21307 * q^27 - 8838 * q^28 - 13070 * q^29 + 22830 * q^30 + 19163 * q^31 + 58812 * q^32 + 30430 * q^34 - 43368 * q^35 - 103490 * q^36 + 973 * q^37 - 69622 * q^38 - 20300 * q^39 - 52284 * q^40 + 14806 * q^41 + 85866 * q^42 + 24376 * q^43 + 160376 * q^45 - 50452 * q^46 - 51284 * q^47 - 8966 * q^48 - 58935 * q^49 - 10839 * q^50 - 75564 * q^51 + 80654 * q^52 + 28926 * q^53 - 43796 * q^54 - 94872 * q^56 + 40020 * q^57 - 30512 * q^58 - 86743 * q^59 - 49312 * q^60 + 31446 * q^61 + 153388 * q^62 + 7064 * q^63 - 45547 * q^64 + 41284 * q^65 + 129716 * q^67 + 94114 * q^68 + 116271 * q^69 + 92488 * q^70 + 200897 * q^71 + 14729 * q^72 + 1750 * q^73 - 306048 * q^74 - 316224 * q^75 - 174806 * q^76 - 694580 * q^78 - 24324 * q^79 + 491124 * q^80 + 210367 * q^81 + 322041 * q^82 + 46028 * q^83 + 271956 * q^84 - 63914 * q^85 - 113061 * q^86 + 47592 * q^87 - 195576 * q^89 + 347186 * q^90 + 701284 * q^91 - 6210 * q^92 + 690189 * q^93 + 55370 * q^94 + 4716 * q^95 - 328396 * q^96 - 414635 * q^97 - 743692 * q^98

Decomposition of \(S_{6}^{\mathrm{new}}(121, [\chi])\) into newform subspaces

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

Decomposition of \(S_{6}^{\mathrm{old}}(121, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(121, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(11, [\chi])\)\(^{\oplus 2}\)