Space of modular forms of level 1040, weight 2, and Character 1040.cu

• Label: 1040.2.cu
• Level: $1040$
• Weight: $2$
• Character orbit: 1040.cu
• Rep. character: $\chi_{1040}(317,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $328$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 1040 = 2^{4} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1040.cu (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1040 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1040, [\chi])\).

	Total	New	Old
Modular forms	344	344	0
Cusp forms	328	328	0
Eisenstein series	16	16	0

Trace form

328 * q - 4 * q^2 - 8 * q^3 - 4 * q^6 - 4 * q^8 + 312 * q^9 + 8 * q^10 - 8 * q^11 + 8 * q^12 - 4 * q^13 - 4 * q^15 - 8 * q^16 - 12 * q^18 - 8 * q^21 + 8 * q^22 - 28 * q^24 - 28 * q^26 - 32 * q^27 + 12 * q^30 - 8 * q^31 - 24 * q^32 - 8 * q^33 - 4 * q^35 + 32 * q^36 - 4 * q^37 + 8 * q^38 - 24 * q^39 - 44 * q^40 - 16 * q^42 - 32 * q^43 + 8 * q^44 - 24 * q^45 - 4 * q^46 - 16 * q^48 + 280 * q^49 + 4 * q^50 + 44 * q^52 - 4 * q^54 + 56 * q^58 + 24 * q^60 - 8 * q^61 - 44 * q^62 - 64 * q^63 + 4 * q^65 - 8 * q^66 - 4 * q^67 - 72 * q^68 - 12 * q^72 - 16 * q^75 + 28 * q^76 - 56 * q^77 + 72 * q^78 - 48 * q^80 + 248 * q^81 - 44 * q^83 - 76 * q^84 - 4 * q^85 - 64 * q^86 - 24 * q^87 - 64 * q^88 + 32 * q^90 - 20 * q^91 + 12 * q^92 - 16 * q^93 - 24 * q^96 - 8 * q^97 - 40 * q^98 - 88 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1040, [\chi])\) into newform subspaces

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