Space of modular forms of level 1078, weight 2, and Character 1078.bf

• Label: 1078.2.bf
• Level: $1078$
• Weight: $2$
• Character orbit: 1078.bf
• Rep. character: $\chi_{1078}(17,\cdot)$
• Character field: $\Q(\zeta_{210})$
• Dimension: $2688$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 1078 = 2 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1078.bf (of order \(210\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 539 \)
Character field:			\(\Q(\zeta_{210})\)
Sturm bound:			\(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1078, [\chi])\).

	Total	New	Old
Modular forms	8256	2688	5568
Cusp forms	7872	2688	5184
Eisenstein series	384	0	384

Trace form

2688 * q + 56 * q^4 - 12 * q^5 + 10 * q^7 + 56 * q^9 + 18 * q^11 + 2 * q^14 + 30 * q^15 - 56 * q^16 + 100 * q^17 + 28 * q^20 + 14 * q^22 + 100 * q^23 + 56 * q^25 + 52 * q^26 - 126 * q^27 - 10 * q^28 - 20 * q^29 + 18 * q^31 + 126 * q^33 - 30 * q^35 + 112 * q^36 - 8 * q^37 - 44 * q^38 - 110 * q^40 - 54 * q^42 + 34 * q^44 + 424 * q^45 + 94 * q^47 - 146 * q^49 - 520 * q^51 - 92 * q^53 + 42 * q^55 + 52 * q^56 + 80 * q^57 + 140 * q^58 + 32 * q^59 - 52 * q^60 - 30 * q^61 - 140 * q^62 - 50 * q^63 - 112 * q^64 - 72 * q^66 + 16 * q^67 - 30 * q^68 - 56 * q^69 - 32 * q^70 + 72 * q^71 - 20 * q^72 + 120 * q^73 - 20 * q^74 - 180 * q^75 - 88 * q^77 - 32 * q^78 - 30 * q^79 - 18 * q^80 - 260 * q^81 - 60 * q^82 - 40 * q^84 - 100 * q^85 - 144 * q^86 - 66 * q^88 - 300 * q^89 + 34 * q^91 - 28 * q^92 - 42 * q^93 - 230 * q^94 - 10 * q^95 + 816 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1078, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1078, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1078, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 2}\)