Space of modular forms of level 11 and weight 3

• Label: 11.3
• Level: 11
• Weight: 3
• Dimension: 5
• Nonzero newspaces: 2
• Newform subspaces: 2
• Sturm bound: 30
• Trace bound: 1

Defining parameters

Level:	\( N \)	=	\( 11 \)
Weight:	\( k \)	=	\( 3 \)
Nonzero newspaces:			\( 2 \)
Newform subspaces:			\( 2 \)
Sturm bound:			\(30\)
Trace bound:			\(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(\Gamma_1(11))\).

	Total	New	Old
Modular forms	15	15	0
Cusp forms	5	5	0
Eisenstein series	10	10	0

Trace form

5 * q - 5 * q^2 - 5 * q^3 - 5 * q^4 - 5 * q^5 + 15 * q^6 + 10 * q^7 + 15 * q^8 + 5 * q^9 - 10 * q^11 - 50 * q^12 - 20 * q^13 - 10 * q^14 + 5 * q^15 + 35 * q^16 + 30 * q^18 + 25 * q^19 + 40 * q^20 - 35 * q^22 + 15 * q^23 + 5 * q^24 - 15 * q^25 - 10 * q^26 - 20 * q^27 - 60 * q^28 - 40 * q^29 - 80 * q^30 - 95 * q^31 + 120 * q^33 + 130 * q^34 + 80 * q^35 + 90 * q^36 + 65 * q^37 - 60 * q^38 + 50 * q^39 - 60 * q^40 - 80 * q^41 - 10 * q^42 - 20 * q^44 - 40 * q^45 + 30 * q^46 + 20 * q^47 - 120 * q^48 - 60 * q^49 - 45 * q^50 - 195 * q^51 + 110 * q^52 + 50 * q^53 - 65 * q^55 + 100 * q^56 + 45 * q^57 + 40 * q^58 + 130 * q^59 + 160 * q^60 + 10 * q^61 + 200 * q^62 + 90 * q^63 - 85 * q^64 + 90 * q^66 - 195 * q^67 - 260 * q^68 - 185 * q^69 - 40 * q^70 + 15 * q^71 - 95 * q^72 + 300 * q^73 - 270 * q^74 + 165 * q^75 - 200 * q^77 - 200 * q^78 + 70 * q^79 - 100 * q^80 - 85 * q^81 + 25 * q^82 + 225 * q^83 + 90 * q^84 + 260 * q^85 + 175 * q^86 + 55 * q^88 + 25 * q^89 - 20 * q^90 - 80 * q^91 + 180 * q^92 - 15 * q^93 + 120 * q^94 - 100 * q^95 + 340 * q^96 - 70 * q^97 - 145 * q^99

Decomposition of \(S_{3}^{\mathrm{new}}(\Gamma_1(11))\)

We only show spaces with odd 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
11.3.b	\(\chi_{11}(10, \cdot)\)	11.3.b.a	1	1
11.3.d	\(\chi_{11}(2, \cdot)\)	11.3.d.a	4	4