Space of modular forms of level 2223, weight 2, and Character 2223.gt

• Label: 2223.2.gt
• Level: $2223$
• Weight: $2$
• Character orbit: 2223.gt
• Rep. character: $\chi_{2223}(151,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1104$
• Sturm bound: $560$

Defining parameters

Level:	\( N \)	\(=\)	\( 2223 = 3^{2} \cdot 13 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2223.gt (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2223 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(560\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2223, [\chi])\).

	Total	New	Old
Modular forms	1136	1136	0
Cusp forms	1104	1104	0
Eisenstein series	32	32	0

Trace form

1104 * q - 4 * q^5 - 16 * q^6 - 16 * q^9 - 4 * q^11 + 520 * q^16 - 12 * q^19 - 44 * q^20 + 24 * q^24 + 16 * q^26 - 32 * q^28 - 32 * q^35 - 20 * q^39 - 24 * q^42 + 4 * q^45 - 20 * q^47 - 96 * q^54 - 32 * q^55 + 52 * q^57 - 20 * q^58 - 8 * q^61 + 28 * q^63 - 112 * q^66 + 24 * q^68 + 40 * q^73 - 88 * q^74 + 22 * q^76 - 120 * q^80 + 80 * q^81 - 16 * q^83 + 16 * q^85 - 104 * q^87 - 208 * q^92 + 4 * q^93 + 140 * q^96 + 36 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2223, [\chi])\) into newform subspaces

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