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

• Label: 1224.2.cz
• Level: $1224$
• Weight: $2$
• Character orbit: 1224.cz
• Rep. character: $\chi_{1224}(5,\cdot)$
• Character field: $\Q(\zeta_{48})$
• Dimension: $3392$
• Sturm bound: $432$

Defining parameters

Level:	\( N \)	\(=\)	\( 1224 = 2^{3} \cdot 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1224.cz (of order \(48\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1224 \)
Character field:			\(\Q(\zeta_{48})\)
Sturm bound:			\(432\)

Dimensions

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

	Total	New	Old
Modular forms	3520	3520	0
Cusp forms	3392	3392	0
Eisenstein series	128	128	0

Trace form

3392 * q - 24 * q^2 - 8 * q^4 - 16 * q^6 - 16 * q^7 - 32 * q^9 - 32 * q^10 - 16 * q^12 - 24 * q^14 - 32 * q^15 - 32 * q^18 - 24 * q^20 - 8 * q^22 - 48 * q^23 - 16 * q^24 - 16 * q^25 - 32 * q^28 - 16 * q^30 - 16 * q^31 - 24 * q^32 + 40 * q^34 - 16 * q^36 - 24 * q^38 - 32 * q^39 - 8 * q^40 - 48 * q^41 - 16 * q^42 - 32 * q^46 - 48 * q^47 + 8 * q^48 - 16 * q^49 - 16 * q^52 + 24 * q^54 - 64 * q^55 - 24 * q^56 - 8 * q^58 - 224 * q^60 - 32 * q^63 - 32 * q^64 - 48 * q^65 + 104 * q^66 - 24 * q^68 - 24 * q^70 + 88 * q^72 - 64 * q^73 - 24 * q^74 - 8 * q^76 - 224 * q^78 - 16 * q^79 - 64 * q^81 - 32 * q^82 + 192 * q^86 - 32 * q^87 - 8 * q^88 + 144 * q^90 - 24 * q^92 - 8 * q^94 - 48 * q^95 - 168 * q^96 - 16 * 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.