Space of modular forms of level 5 and weight 11

• Label: 5.11
• Level: 5
• Weight: 11
• Dimension: 8
• Nonzero newspaces: 1
• Newform subspaces: 1
• Sturm bound: 22
• Trace bound: 0

Defining parameters

Level:	\( N \)	=	\( 5 \)
Weight:	\( k \)	=	\( 11 \)
Nonzero newspaces:			\( 1 \)
Newform subspaces:			\( 1 \)
Sturm bound:			\(22\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{11}(\Gamma_1(5))\).

	Total	New	Old
Modular forms	12	12	0
Cusp forms	8	8	0
Eisenstein series	4	4	0

Trace form

8 * q + 30 * q^2 + 60 * q^3 - 5340 * q^5 + 17016 * q^6 - 14500 * q^7 + 22020 * q^8 - 161290 * q^10 - 233784 * q^11 + 863160 * q^12 + 433520 * q^13 - 3188580 * q^15 - 1193992 * q^16 + 1045440 * q^17 + 12804210 * q^18 - 16739820 * q^20 - 20777784 * q^21 + 25939360 * q^22 + 24737580 * q^23 - 35382400 * q^25 - 34440684 * q^26 + 27386640 * q^27 + 89876920 * q^28 - 115784880 * q^30 + 258616 * q^31 - 11664120 * q^32 + 11269320 * q^33 + 113638860 * q^35 + 66085308 * q^36 + 92216120 * q^37 - 435848520 * q^38 + 432590700 * q^40 + 115357416 * q^41 - 609152160 * q^42 - 262653700 * q^43 + 593742420 * q^45 + 1023085816 * q^46 - 669481140 * q^47 - 618046320 * q^48 + 944762850 * q^50 - 768258984 * q^51 - 70856500 * q^52 - 1321976040 * q^53 + 2597320 * q^55 + 852915600 * q^56 + 2367269280 * q^57 + 2687784720 * q^58 - 4237774440 * q^60 - 3143200184 * q^61 - 1373690040 * q^62 + 2578662540 * q^63 - 1924527480 * q^65 + 766734432 * q^66 + 4912566140 * q^67 + 6614874660 * q^68 - 8299690440 * q^70 - 4375053384 * q^71 + 808889220 * q^72 - 786968920 * q^73 + 5379002700 * q^75 - 5577898800 * q^76 + 7522045800 * q^77 + 4109901000 * q^78 + 47717760 * q^80 - 2499208992 * q^81 - 19442731040 * q^82 - 11064240660 * q^83 + 15814282160 * q^85 + 36286046616 * q^86 + 2020273920 * q^87 - 13252572960 * q^88 + 9489047670 * q^90 - 12917794184 * q^91 - 25757138760 * q^92 - 40141724280 * q^93 + 14671558800 * q^95 + 38082222816 * q^96 + 24688294760 * q^97 + 13744332030 * q^98

Decomposition of \(S_{11}^{\mathrm{new}}(\Gamma_1(5))\)

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
5.11.c	\(\chi_{5}(2, \cdot)\)	5.11.c.a	8	2