Space of modular forms of level 1183, weight 2, and Character 1183.k

• Label: 1183.2.k
• Level: $1183$
• Weight: $2$
• Character orbit: 1183.k
• Rep. character: $\chi_{1183}(23,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $186$
• Sturm bound: $242$

Defining parameters

Level:	$N$	$=$	$1183 = 7 \cdot 13^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1183.k (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$91$
Character field:			$\Q(\zeta_{6})$
Sturm bound:			$242$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(1183, [\chi])$.

	Total	New	Old
Modular forms	270	226	44
Cusp forms	214	186	28
Eisenstein series	56	40	16

Trace form

186 * q + 2 * q^3 - 166 * q^4 + 6 * q^6 + 7 * q^7 - 77 * q^9 - 9 * q^10 - 3 * q^11 + 2 * q^12 - 36 * q^14 + 9 * q^15 + 122 * q^16 + 26 * q^17 + 3 * q^18 - 6 * q^19 + 6 * q^20 - 16 * q^21 + 8 * q^22 + 2 * q^23 - 18 * q^24 + 61 * q^25 - 82 * q^27 + 5 * q^28 + 4 * q^29 + 4 * q^30 - 15 * q^31 + 15 * q^33 + 3 * q^35 + 45 * q^36 - 28 * q^38 - 8 * q^40 + 15 * q^41 - 5 * q^42 + 2 * q^43 + 24 * q^44 - 70 * q^48 + 7 * q^49 - 24 * q^50 - 20 * q^51 - 9 * q^53 + 28 * q^55 + q^56 + 15 * q^58 + 33 * q^60 - 40 * q^62 + 28 * q^63 - 32 * q^64 + 41 * q^66 - 30 * q^67 - 214 * q^68 - 11 * q^69 - 18 * q^70 - 33 * q^71 - 51 * q^72 - 57 * q^73 - 66 * q^74 - 2 * q^75 + 42 * q^76 + 26 * q^77 + 20 * q^79 + 78 * q^80 - 9 * q^81 + 28 * q^82 + 7 * q^84 + 3 * q^85 + 90 * q^86 + 130 * q^87 - q^88 - 96 * q^90 + 14 * q^92 + 16 * q^94 + 6 * q^95 - 12 * q^96 + 12 * q^97 + 42 * q^98

Decomposition of $S_{2}^{\mathrm{new}}(1183, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(1183, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(1183, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(91, [\chi])$$^{\oplus 2}$