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

• Label: 1183.2.r
• Level: $1183$
• Weight: $2$
• Character orbit: 1183.r
• Rep. character: $\chi_{1183}(506,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $184$
• Sturm bound: $242$

Defining parameters

Level:	$N$	$=$	$1183 = 7 \cdot 13^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1183.r (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	272	224	48
Cusp forms	216	184	32
Eisenstein series	56	40	16

Trace form

184 * q + 4 * q^3 + 82 * q^4 - 64 * q^9 + 6 * q^10 - 18 * q^12 - 66 * q^16 - 10 * q^17 + 32 * q^22 + 14 * q^23 + 54 * q^25 - 92 * q^27 + 16 * q^29 - 20 * q^30 + 12 * q^35 - 4 * q^36 - 46 * q^38 - 8 * q^40 - 14 * q^42 - 20 * q^43 + 76 * q^48 - 46 * q^49 - 26 * q^51 + 12 * q^53 - 32 * q^55 + 28 * q^56 + 10 * q^61 - 40 * q^62 - 120 * q^64 - 4 * q^66 + 104 * q^68 + 64 * q^69 - 42 * q^74 - 4 * q^75 + 92 * q^77 - 30 * q^79 + 28 * q^81 + 40 * q^82 + 16 * q^87 - 10 * q^88 + 108 * q^90 - 64 * q^92 + 28 * q^94 + 18 * q^95

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}$