Space of modular forms of level 1092, weight 2, and Character 1092.dc

• Label: 1092.2.dc
• Level: $1092$
• Weight: $2$
• Character orbit: 1092.dc
• Rep. character: $\chi_{1092}(191,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $432$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1092 = 2^{2} \cdot 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1092.dc (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1092 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1092, [\chi])\).

	Total	New	Old
Modular forms	464	464	0
Cusp forms	432	432	0
Eisenstein series	32	32	0

Trace form

432 * q + 2 * q^4 - 6 * q^6 - 4 * q^9 - 20 * q^10 + 4 * q^12 - 12 * q^13 + 2 * q^16 + 2 * q^18 - 2 * q^21 - 6 * q^22 - 8 * q^24 + 176 * q^25 - 6 * q^28 + 40 * q^30 - 52 * q^33 - 32 * q^34 - 20 * q^36 - 4 * q^37 + 6 * q^40 - 40 * q^42 + 22 * q^45 + 8 * q^46 - 16 * q^48 + 20 * q^49 - 20 * q^52 + 3 * q^54 - 20 * q^57 + 4 * q^58 - 23 * q^60 + 8 * q^61 - 16 * q^64 + 15 * q^66 - 8 * q^69 - 28 * q^70 - 42 * q^72 - 20 * q^73 + 12 * q^76 - 63 * q^78 + 12 * q^81 + 20 * q^82 - 30 * q^84 - 28 * q^85 - 60 * q^88 - 2 * q^90 + 6 * q^93 + 24 * q^94 - 80 * q^96 + 16 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(1092, [\chi])\) into newform subspaces

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