Space of modular forms of level 1184, weight 2, and Character 1184.cy

• Label: 1184.2.cy
• Level: $1184$
• Weight: $2$
• Character orbit: 1184.cy
• Rep. character: $\chi_{1184}(19,\cdot)$
• Character field: $\Q(\zeta_{72})$
• Dimension: $3600$
• Sturm bound: $304$

Defining parameters

Level:	\( N \)	\(=\)	\( 1184 = 2^{5} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1184.cy (of order \(72\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1184 \)
Character field:			\(\Q(\zeta_{72})\)
Sturm bound:			\(304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1184, [\chi])\).

	Total	New	Old
Modular forms	3696	3696	0
Cusp forms	3600	3600	0
Eisenstein series	96	96	0

Trace form

3600 * q - 24 * q^2 - 24 * q^3 - 24 * q^4 - 24 * q^5 - 24 * q^6 - 24 * q^7 - 24 * q^8 - 24 * q^9 - 12 * q^10 - 36 * q^11 - 24 * q^12 - 24 * q^13 - 24 * q^14 - 48 * q^15 - 84 * q^16 + 36 * q^18 - 24 * q^19 + 144 * q^20 - 24 * q^21 - 24 * q^22 - 12 * q^23 - 84 * q^24 - 24 * q^25 - 12 * q^26 - 36 * q^27 - 24 * q^28 - 24 * q^29 - 24 * q^30 - 24 * q^32 - 48 * q^33 - 24 * q^34 - 24 * q^35 - 120 * q^37 - 48 * q^38 - 24 * q^39 - 144 * q^40 - 24 * q^41 + 120 * q^42 - 48 * q^43 - 108 * q^44 - 24 * q^45 - 24 * q^47 + 60 * q^48 - 108 * q^50 + 216 * q^51 - 24 * q^52 - 24 * q^53 + 120 * q^54 - 24 * q^55 - 108 * q^56 - 24 * q^57 + 60 * q^58 - 24 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 36 * q^64 - 48 * q^65 - 120 * q^66 - 24 * q^67 + 276 * q^68 + 12 * q^69 - 24 * q^70 - 24 * q^71 - 120 * q^72 - 108 * q^74 - 48 * q^75 - 216 * q^76 - 72 * q^77 + 120 * q^78 - 48 * q^79 - 288 * q^80 - 264 * q^82 - 24 * q^83 + 156 * q^84 - 36 * q^85 - 120 * q^86 + 144 * q^87 + 36 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 228 * q^92 - 24 * q^93 - 24 * q^96 - 48 * q^97 + 192 * q^98 + 96 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1184, [\chi])\) into newform subspaces

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