Space of modular forms of level 1224, weight 2, and Character 1224.cm

• Label: 1224.2.cm
• Level: $1224$
• Weight: $2$
• Character orbit: 1224.cm
• Rep. character: $\chi_{1224}(229,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $1696$
• Sturm bound: $432$

Defining parameters

Level:	\( N \)	\(=\)	\( 1224 = 2^{3} \cdot 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1224.cm (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1224 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(432\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1224, [\chi])\).

	Total	New	Old
Modular forms	1760	1760	0
Cusp forms	1696	1696	0
Eisenstein series	64	64	0

Trace form

1696 * q - 4 * q^2 - 8 * q^6 - 8 * q^7 - 16 * q^8 - 16 * q^9 - 16 * q^10 + 4 * q^12 - 4 * q^14 - 16 * q^15 - 8 * q^16 - 32 * q^17 - 16 * q^18 + 28 * q^20 - 4 * q^22 - 8 * q^23 + 32 * q^24 - 8 * q^25 - 48 * q^28 - 8 * q^31 - 4 * q^32 - 32 * q^33 - 28 * q^34 - 24 * q^36 + 8 * q^39 - 4 * q^40 - 8 * q^41 + 40 * q^42 + 16 * q^44 + 32 * q^46 - 72 * q^48 - 8 * q^49 + 72 * q^50 + 56 * q^52 - 28 * q^54 - 4 * q^56 - 32 * q^57 - 4 * q^58 + 80 * q^60 - 16 * q^62 - 16 * q^63 + 72 * q^65 + 68 * q^66 + 12 * q^68 + 4 * q^70 - 32 * q^71 - 32 * q^73 + 52 * q^74 - 20 * q^76 + 120 * q^78 - 8 * q^79 - 56 * q^80 - 16 * q^82 - 24 * q^84 - 48 * q^86 - 16 * q^87 - 4 * q^88 - 120 * q^90 - 148 * q^92 - 20 * q^94 - 8 * q^95 - 188 * q^96 - 8 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(1224, [\chi])\) into newform subspaces

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