Space of modular forms of level 1071, weight 2, and Character 1071.dc

• Label: 1071.2.dc
• Level: $1071$
• Weight: $2$
• Character orbit: 1071.dc
• Rep. character: $\chi_{1071}(43,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $864$
• Sturm bound: $288$

Defining parameters

Level:	\( N \)	\(=\)	\( 1071 = 3^{2} \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1071.dc (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 153 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1071, [\chi])\).

	Total	New	Old
Modular forms	1184	864	320
Cusp forms	1120	864	256
Eisenstein series	64	0	64

Trace form

864 * q + 24 * q^9 - 8 * q^11 + 48 * q^12 + 8 * q^15 + 432 * q^16 - 24 * q^24 - 48 * q^34 - 128 * q^35 + 56 * q^36 + 24 * q^39 + 24 * q^43 - 64 * q^44 - 32 * q^45 - 96 * q^46 + 104 * q^48 - 32 * q^50 - 8 * q^51 - 32 * q^53 - 56 * q^54 - 144 * q^57 - 120 * q^59 + 176 * q^60 + 96 * q^62 + 16 * q^63 + 8 * q^65 - 352 * q^66 - 64 * q^71 - 56 * q^74 + 56 * q^75 + 144 * q^78 + 240 * q^82 - 16 * q^83 + 96 * q^85 + 200 * q^86 + 40 * q^87 - 72 * q^88 - 424 * q^90 - 48 * q^91 - 112 * q^92 - 32 * q^93 + 48 * q^95 - 360 * q^96 - 72 * q^97 + 40 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1071, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1071, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1071, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(153, [\chi])\)\(^{\oplus 2}\)