Space of modular forms of level 2167, weight 2, and Character 2167.k

• Label: 2167.2.k
• Level: $2167$
• Weight: $2$
• Character orbit: 2167.k
• Rep. character: $\chi_{2167}(196,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $784$
• Sturm bound: $396$

Defining parameters

Level:	\( N \)	\(=\)	\( 2167 = 11 \cdot 197 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2167.k (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2167 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(396\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2167, [\chi])\).

	Total	New	Old
Modular forms	800	800	0
Cusp forms	784	784	0
Eisenstein series	16	16	0

Trace form

784 * q + 192 * q^4 - 10 * q^6 - 4 * q^7 + 186 * q^9 - 48 * q^10 - 14 * q^15 - 156 * q^16 + 2 * q^19 - 16 * q^22 - 48 * q^23 - 2 * q^24 + 174 * q^25 + 6 * q^26 - 56 * q^28 - 16 * q^29 + 6 * q^33 - 4 * q^34 - 206 * q^36 - 38 * q^37 + 16 * q^39 - 18 * q^40 + 24 * q^41 + 50 * q^42 - 140 * q^43 + 34 * q^47 - 156 * q^49 - 46 * q^51 + 18 * q^53 + 28 * q^54 + 40 * q^55 + 22 * q^59 - 4 * q^60 - 8 * q^61 + 136 * q^62 - 8 * q^63 + 112 * q^64 - 140 * q^65 - 164 * q^70 + 80 * q^76 - 166 * q^81 + 56 * q^83 - 120 * q^85 + 216 * q^88 - 64 * q^90 - 98 * q^92 + 98 * q^93 + 120 * q^96 + 112 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(2167, [\chi])\) into newform subspaces

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