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

• Label: 1665.2.eu
• Level: $1665$
• Weight: $2$
• Character orbit: 1665.eu
• Rep. character: $\chi_{1665}(283,\cdot)$
• Character field: $\Q(\zeta_{36})$
• Dimension: $2688$
• Sturm bound: $456$

Defining parameters

Level:	\( N \)	\(=\)	\( 1665 = 3^{2} \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1665.eu (of order \(36\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1665 \)
Character field:			\(\Q(\zeta_{36})\)
Sturm bound:			\(456\)

Dimensions

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

	Total	New	Old
Modular forms	2784	2784	0
Cusp forms	2688	2688	0
Eisenstein series	96	96	0

Trace form

2688 * q - 6 * q^2 - 6 * q^3 - 6 * q^5 - 24 * q^6 - 6 * q^7 - 12 * q^8 - 12 * q^10 - 6 * q^13 - 12 * q^15 - 12 * q^16 - 24 * q^17 - 54 * q^18 + 36 * q^20 - 24 * q^21 + 42 * q^22 - 12 * q^23 + 36 * q^24 - 6 * q^25 - 24 * q^26 - 42 * q^27 - 36 * q^28 - 12 * q^30 - 12 * q^31 + 42 * q^32 + 30 * q^33 - 60 * q^35 - 24 * q^37 - 12 * q^38 + 48 * q^39 + 78 * q^40 + 12 * q^41 + 12 * q^42 - 12 * q^43 - 108 * q^45 - 48 * q^46 + 6 * q^47 - 54 * q^48 - 6 * q^50 - 24 * q^51 - 18 * q^52 + 36 * q^53 + 6 * q^55 - 12 * q^56 - 108 * q^57 - 54 * q^58 - 18 * q^60 - 12 * q^61 + 36 * q^62 - 6 * q^63 - 1176 * q^64 - 6 * q^65 + 84 * q^66 - 24 * q^67 - 156 * q^69 - 6 * q^70 - 48 * q^71 + 108 * q^72 - 48 * q^74 + 24 * q^75 - 12 * q^76 + 210 * q^77 + 42 * q^78 + 132 * q^80 + 132 * q^81 - 36 * q^82 - 6 * q^83 - 18 * q^85 - 12 * q^86 - 60 * q^87 - 18 * q^88 + 72 * q^90 - 48 * q^91 - 378 * q^92 - 84 * q^93 - 54 * q^95 - 192 * q^96 - 18 * q^97 - 66 * q^98 - 96 * 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.