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

• Label: 1665.2.eh
• Level: $1665$
• Weight: $2$
• Character orbit: 1665.eh
• Rep. character: $\chi_{1665}(4,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1344$
• Sturm bound: $456$

Defining parameters

Level:	\( N \)	\(=\)	\( 1665 = 3^{2} \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1665.eh (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1665 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(456\)

Dimensions

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

	Total	New	Old
Modular forms	1392	1392	0
Cusp forms	1344	1344	0
Eisenstein series	48	48	0

Trace form

1344 * q - 6 * q^4 - 3 * q^5 - 6 * q^9 - 6 * q^10 + 84 * q^11 + 15 * q^15 - 18 * q^16 - 24 * q^19 - 36 * q^20 - 12 * q^21 + 24 * q^24 - 3 * q^25 + 60 * q^26 - 51 * q^30 - 6 * q^34 - 30 * q^35 - 24 * q^36 - 36 * q^39 + 15 * q^40 - 18 * q^41 - 48 * q^44 - 9 * q^45 - 36 * q^46 - 6 * q^49 - 3 * q^50 - 18 * q^51 + 24 * q^54 - 27 * q^55 + 90 * q^56 + 45 * q^60 - 6 * q^61 - 600 * q^64 - 3 * q^65 - 126 * q^66 - 30 * q^69 + 15 * q^70 + 6 * q^71 - 30 * q^74 - 66 * q^75 - 30 * q^76 - 6 * q^79 + 18 * q^81 + 72 * q^84 + 3 * q^85 + 18 * q^86 - 84 * q^89 + 90 * q^90 - 24 * q^91 - 30 * q^94 - 135 * q^95 + 198 * q^96 - 102 * 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.