Space of modular forms of level 1665, weight 2, and Character 1665.bh

• Label: 1665.2.bh
• Level: $1665$
• Weight: $2$
• Character orbit: 1665.bh
• Rep. character: $\chi_{1665}(184,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $448$
• Sturm bound: $456$

Defining parameters

Level:	\( N \)	\(=\)	\( 1665 = 3^{2} \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1665.bh (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1665 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1665, [\chi])\).

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

Trace form

448 * q - 224 * q^4 - 4 * q^9 - 20 * q^11 - 224 * q^16 - 20 * q^21 - 8 * q^25 - 80 * q^26 - 36 * q^30 - 12 * q^34 - 32 * q^36 - 12 * q^40 - 44 * q^41 + 176 * q^44 + 196 * q^49 + 424 * q^64 + 18 * q^65 - 12 * q^70 - 168 * q^71 - 28 * q^74 + 22 * q^75 + 4 * q^81 - 40 * q^84 - 36 * q^85 + 52 * q^86 - 62 * q^90 - 20 * q^95 + 80 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1665, [\chi])\) into newform subspaces

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