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

• Label: 1224.2.bd
• Level: $1224$
• Weight: $2$
• Character orbit: 1224.bd
• Rep. character: $\chi_{1224}(373,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $424$
• Sturm bound: $432$

Defining parameters

Level:	\( N \)	\(=\)	\( 1224 = 2^{3} \cdot 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1224.bd (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1224 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(432\)

Dimensions

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

	Total	New	Old
Modular forms	440	440	0
Cusp forms	424	424	0
Eisenstein series	16	16	0

Trace form

424 * q - 2 * q^2 - 2 * q^4 - 8 * q^8 - 8 * q^9 + 4 * q^15 - 2 * q^16 - 8 * q^17 - 10 * q^18 - 200 * q^25 - 16 * q^26 + 8 * q^30 - 32 * q^32 + 20 * q^33 - 9 * q^34 - 6 * q^36 + 2 * q^38 - 54 * q^42 + 36 * q^47 + 184 * q^49 + 2 * q^50 - 18 * q^52 + 24 * q^55 + 122 * q^60 - 32 * q^64 - 68 * q^66 - 13 * q^68 + 36 * q^70 - 46 * q^72 - 6 * q^76 - 76 * q^84 - 72 * q^86 + 4 * q^87 - 16 * q^89 + 6 * q^94 + 40 * q^98

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

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