Space of modular forms of level 11 and weight 6

• Label: 11.6
• Level: 11
• Weight: 6
• Dimension: 20
• Nonzero newspaces: 2
• Newform subspaces: 3
• Sturm bound: 60
• Trace bound: 1

Defining parameters

Level:	\( N \)	=	\( 11 \)
Weight:	\( k \)	=	\( 6 \)
Nonzero newspaces:			\( 2 \)
Newform subspaces:			\( 3 \)
Sturm bound:			\(60\)
Trace bound:			\(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_1(11))\).

	Total	New	Old
Modular forms	30	28	2
Cusp forms	20	20	0
Eisenstein series	10	8	2

Trace form

20 * q - 5 * q^2 - 5 * q^3 - 5 * q^4 - 5 * q^5 - 25 * q^6 + 290 * q^7 + 155 * q^8 - 555 * q^9 - 1010 * q^10 - 450 * q^11 - 330 * q^12 + 500 * q^13 - 500 * q^14 + 3735 * q^15 + 8135 * q^16 + 1750 * q^17 - 2800 * q^18 - 2240 * q^19 - 8690 * q^20 - 8830 * q^21 - 12575 * q^22 - 10205 * q^23 - 1395 * q^24 + 12865 * q^25 + 32940 * q^26 + 23425 * q^27 + 32390 * q^28 + 4220 * q^29 - 21320 * q^30 - 25305 * q^31 - 76340 * q^32 - 42615 * q^33 - 4390 * q^34 + 18950 * q^35 + 68740 * q^36 + 34425 * q^37 + 60440 * q^38 + 30960 * q^39 + 33360 * q^40 - 10340 * q^41 - 117150 * q^42 - 54610 * q^43 - 92860 * q^44 - 78680 * q^45 + 18810 * q^46 + 30300 * q^47 + 95140 * q^48 + 64070 * q^49 + 62965 * q^50 + 42550 * q^51 - 97590 * q^52 + 9070 * q^53 + 46950 * q^54 + 12255 * q^55 + 30240 * q^56 - 14100 * q^57 + 2800 * q^58 + 60605 * q^59 + 28100 * q^60 - 29940 * q^61 - 147590 * q^62 - 19740 * q^63 + 26015 * q^64 - 27140 * q^65 + 15820 * q^66 - 81955 * q^67 - 117690 * q^68 - 83005 * q^69 - 226380 * q^70 - 114075 * q^71 - 113225 * q^72 + 15600 * q^73 + 411090 * q^74 + 266140 * q^75 + 284870 * q^76 + 393600 * q^77 + 417020 * q^78 + 214610 * q^79 - 262900 * q^80 - 400680 * q^81 - 565515 * q^82 - 292670 * q^83 + 74060 * q^84 - 53160 * q^85 + 282095 * q^86 + 14400 * q^87 + 120395 * q^88 + 58955 * q^89 - 245130 * q^90 - 379560 * q^91 - 454530 * q^92 - 307455 * q^93 - 158970 * q^94 - 19620 * q^95 + 328740 * q^96 + 560885 * q^97 + 814000 * q^98 + 726295 * q^99

Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_1(11))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.

Label	\(\chi\)	Newforms	Dimension	\(\chi\) degree
11.6.a	\(\chi_{11}(1, \cdot)\)	11.6.a.a	1	1
		11.6.a.b	3
11.6.c	\(\chi_{11}(3, \cdot)\)	11.6.c.a	16	4