Space of modular forms of level 1666, weight 2, and Character 1666.v

• Label: 1666.2.v
• Level: $1666$
• Weight: $2$
• Character orbit: 1666.v
• Rep. character: $\chi_{1666}(263,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $480$
• Sturm bound: $504$

Defining parameters

Level:	\( N \)	\(=\)	\( 1666 = 2 \cdot 7^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1666.v (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 119 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(504\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1666, [\chi])\).

	Total	New	Old
Modular forms	2144	480	1664
Cusp forms	1888	480	1408
Eisenstein series	256	0	256

Trace form

480 * q + 8 * q^5 - 8 * q^11 + 112 * q^15 + 240 * q^16 + 8 * q^17 - 16 * q^18 + 16 * q^22 + 24 * q^23 - 8 * q^25 - 48 * q^27 + 48 * q^33 - 48 * q^37 + 32 * q^39 + 112 * q^41 + 64 * q^43 + 32 * q^44 + 24 * q^45 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 112 * q^53 + 24 * q^54 + 48 * q^58 + 16 * q^59 + 56 * q^60 + 48 * q^62 - 32 * q^65 + 16 * q^67 + 160 * q^69 + 160 * q^71 - 40 * q^73 - 48 * q^74 - 136 * q^75 + 192 * q^78 - 8 * q^80 - 32 * q^83 - 48 * q^85 + 24 * q^87 + 32 * q^88 - 48 * q^90 + 16 * q^92 + 88 * q^93 - 32 * q^94 + 104 * q^95 + 192 * q^97 + 144 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1666, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1666, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1666, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(119, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(238, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(833, [\chi])\)\(^{\oplus 2}\)