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

• Label: 1224.2.bh
• Level: $1224$
• Weight: $2$
• Character orbit: 1224.bh
• Rep. character: $\chi_{1224}(203,\cdot)$
• 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.bh (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 - 6 * q^2 - 2 * q^4 - 8 * q^9 - 2 * q^16 - 18 * q^18 - 16 * q^19 + 192 * q^25 - 8 * q^30 - 36 * q^32 - 12 * q^33 - 5 * q^34 + 14 * q^36 - 18 * q^38 + 18 * q^42 - 4 * q^43 - 192 * q^49 - 114 * q^50 + 4 * q^51 - 18 * q^52 - 12 * q^59 - 18 * q^60 + 16 * q^64 - 36 * q^66 - 4 * q^67 + 33 * q^68 - 32 * q^70 + 130 * q^72 + 2 * q^76 + 108 * q^83 + 52 * q^84 - 36 * q^86 + 6 * q^94

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

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