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

• Label: 1183.2.bb
• Level: $1183$
• Weight: $2$
• Character orbit: 1183.bb
• Rep. character: $\chi_{1183}(437,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $368$
• Sturm bound: $242$

Defining parameters

Level:	$N$	$=$	$1183 = 7 \cdot 13^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1183.bb (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$91$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$242$

Dimensions

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

	Total	New	Old
Modular forms	544	448	96
Cusp forms	432	368	64
Eisenstein series	112	80	32

Trace form

368 * q + 2 * q^2 + 12 * q^3 + 6 * q^5 + 6 * q^7 + 16 * q^8 + 144 * q^9 + 10 * q^11 - 80 * q^14 + 44 * q^15 + 116 * q^16 + 4 * q^18 - 12 * q^19 + 26 * q^21 + 12 * q^24 + 6 * q^28 - 32 * q^29 - 24 * q^31 - 4 * q^32 - 48 * q^33 - 52 * q^35 + 8 * q^37 + 60 * q^40 + 12 * q^42 + 42 * q^44 + 24 * q^45 - 12 * q^46 - 30 * q^47 - 88 * q^50 - 20 * q^53 - 78 * q^54 - 40 * q^57 - 26 * q^58 + 54 * q^59 - 16 * q^60 + 84 * q^61 - 24 * q^63 - 144 * q^66 - 16 * q^67 + 84 * q^68 - 50 * q^70 + 36 * q^71 - 22 * q^72 - 66 * q^73 - 12 * q^74 + 12 * q^79 - 138 * q^80 - 8 * q^81 + 58 * q^84 + 84 * q^85 - 42 * q^86 - 192 * q^87 + 60 * q^89 - 72 * q^92 - 6 * q^93 + 84 * q^94 + 42 * q^96 + 86 * q^98 + 24 * q^99

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}$