Space of modular forms of level 1332, weight 2, and Character 1332.z

• Label: 1332.2.z
• Level: $1332$
• Weight: $2$
• Character orbit: 1332.z
• Rep. character: $\chi_{1332}(443,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $448$
• Sturm bound: $456$

Defining parameters

Level:	\( N \)	\(=\)	\( 1332 = 2^{2} \cdot 3^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1332.z (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1332 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1332, [\chi])\).

	Total	New	Old
Modular forms	464	464	0
Cusp forms	448	448	0
Eisenstein series	16	16	0

Trace form

448 * q - 2 * q^4 - 8 * q^9 - 20 * q^12 - 2 * q^16 - 20 * q^21 - 212 * q^25 - 24 * q^28 + 60 * q^30 + 4 * q^33 - 6 * q^34 + 20 * q^36 - 8 * q^37 - 18 * q^38 - 12 * q^40 - 12 * q^41 - 16 * q^46 - 24 * q^48 + 196 * q^49 + 6 * q^58 - 8 * q^64 - 12 * q^65 + 36 * q^70 - 16 * q^73 - 60 * q^74 - 12 * q^77 - 56 * q^78 - 8 * q^81 + 68 * q^84 - 24 * q^85 - 6 * q^86 + 22 * q^90

Decomposition of \(S_{2}^{\mathrm{new}}(1332, [\chi])\) into newform subspaces

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