Space of modular forms of level 1040, weight 6, and Character 1040.cq

• Label: 1040.6.cq
• Level: $1040$
• Weight: $6$
• Character orbit: 1040.cq
• Rep. character: $\chi_{1040}(883,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $1672$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 1040 = 2^{4} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	1040.cq (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1040 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(1040, [\chi])\).

	Total	New	Old
Modular forms	1688	1688	0
Cusp forms	1672	1672	0
Eisenstein series	16	16	0

Trace form

1672 * q - 8 * q^3 + 134136 * q^9 - 132 * q^10 - 184 * q^12 - 8 * q^16 - 8 * q^17 - 3248 * q^22 - 8 * q^23 - 884 * q^26 - 1952 * q^27 - 2344 * q^30 - 12504 * q^35 - 8200 * q^36 - 132 * q^38 + 102916 * q^40 + 1560 * q^42 - 113348 * q^48 - 8 * q^51 + 27968 * q^52 - 8 * q^53 - 8 * q^55 - 8 * q^56 - 8 * q^61 - 83996 * q^62 - 4 * q^65 - 17448 * q^66 + 281720 * q^68 - 1944 * q^69 + 167904 * q^74 - 97600 * q^75 + 134448 * q^77 + 110288 * q^78 + 10550072 * q^81 - 404900 * q^82 - 8 * q^87 - 350516 * q^88 - 463052 * q^90 - 164724 * q^91 - 97772 * q^92 - 409520 * q^95

Decomposition of \(S_{6}^{\mathrm{new}}(1040, [\chi])\) into newform subspaces

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