Space of modular forms of level 1089, weight 2, and Character 1089.u

• Label: 1089.2.u
• Level: $1089$
• Weight: $2$
• Character orbit: 1089.u
• Rep. character: $\chi_{1089}(34,\cdot)$
• Character field: $\Q(\zeta_{33})$
• Dimension: $2600$
• Sturm bound: $264$

Defining parameters

Level:	\( N \)	\(=\)	\( 1089 = 3^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1089.u (of order \(33\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1089 \)
Character field:			\(\Q(\zeta_{33})\)
Sturm bound:			\(264\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1089, [\chi])\).

	Total	New	Old
Modular forms	2680	2680	0
Cusp forms	2600	2600	0
Eisenstein series	80	80	0

Trace form

2600 * q - 11 * q^2 - 42 * q^3 + 119 * q^4 - 9 * q^5 - 2 * q^6 - 9 * q^7 - 32 * q^8 - 38 * q^9 - 44 * q^10 - 7 * q^11 - 49 * q^12 - 9 * q^13 - 17 * q^14 + 27 * q^15 + 119 * q^16 - 32 * q^17 - 4 * q^18 - 48 * q^19 - 21 * q^20 + 15 * q^21 - 11 * q^22 - 3 * q^23 - 18 * q^24 + 113 * q^25 - 92 * q^26 - 30 * q^27 - 60 * q^28 - 23 * q^29 - 66 * q^30 - 9 * q^31 - 23 * q^32 + 9 * q^33 + q^34 - 44 * q^35 - 32 * q^36 - 36 * q^37 - 57 * q^38 + 51 * q^39 - 10 * q^40 - 23 * q^41 - 5 * q^42 - 3 * q^43 - 64 * q^44 + 25 * q^45 - 44 * q^46 - 21 * q^47 + 51 * q^48 + 109 * q^49 - 5 * q^50 - 120 * q^51 - 21 * q^52 + 76 * q^53 - 280 * q^54 - 38 * q^55 + 21 * q^56 - 29 * q^57 - 29 * q^58 + 15 * q^59 - 63 * q^60 - 9 * q^61 + 16 * q^62 + 58 * q^63 - 292 * q^64 - 29 * q^65 + 32 * q^66 - 3 * q^67 + 7 * q^68 + 55 * q^69 - 23 * q^70 - 100 * q^71 - 282 * q^72 - 72 * q^73 - 65 * q^74 - 31 * q^75 - 90 * q^76 - 135 * q^77 - 84 * q^78 - 9 * q^79 - 544 * q^80 - 38 * q^81 - 56 * q^82 - 11 * q^83 - 110 * q^84 - 53 * q^85 - 55 * q^86 + 11 * q^87 - 110 * q^88 + 58 * q^89 - 268 * q^90 + 44 * q^91 - 91 * q^92 + 4 * q^93 - 52 * q^94 - 135 * q^95 + 79 * q^96 + 9 * q^97 + 96 * q^98 + 82 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1089, [\chi])\) into newform subspaces

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