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

• Label: 1078.2.v
• Level: $1078$
• Weight: $2$
• Character orbit: 1078.v
• Rep. character: $\chi_{1078}(15,\cdot)$
• Character field: $\Q(\zeta_{35})$
• Dimension: $1344$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 1078 = 2 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1078.v (of order \(35\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 539 \)
Character field:			\(\Q(\zeta_{35})\)
Sturm bound:			\(336\)

Dimensions

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

	Total	New	Old
Modular forms	4128	1344	2784
Cusp forms	3936	1344	2592
Eisenstein series	192	0	192

Trace form

1344 * q + 56 * q^4 + 8 * q^5 + 4 * q^6 - 2 * q^7 + 56 * q^9 - 8 * q^10 - 6 * q^11 + 4 * q^13 - 2 * q^14 + 30 * q^15 + 56 * q^16 + 26 * q^17 + 16 * q^18 - 16 * q^19 - 20 * q^20 + 20 * q^21 - 6 * q^22 - 52 * q^23 + 4 * q^24 + 72 * q^25 - 44 * q^26 + 90 * q^27 - 2 * q^28 - 12 * q^29 - 12 * q^31 - 56 * q^33 - 32 * q^34 - 44 * q^35 + 56 * q^36 + 32 * q^37 - 20 * q^38 + 40 * q^39 + 34 * q^40 - 8 * q^41 - 138 * q^42 + 40 * q^43 - 26 * q^44 - 280 * q^45 + 8 * q^46 + 78 * q^47 - 116 * q^49 + 32 * q^50 + 144 * q^51 + 4 * q^52 - 136 * q^53 - 64 * q^54 - 116 * q^55 - 20 * q^56 - 8 * q^57 + 100 * q^58 + 28 * q^59 - 20 * q^60 - 40 * q^61 + 70 * q^62 - 16 * q^63 + 56 * q^64 - 64 * q^65 - 40 * q^66 - 96 * q^67 - 72 * q^68 - 60 * q^69 + 42 * q^70 - 24 * q^71 - 24 * q^72 + 126 * q^73 - 44 * q^74 - 40 * q^75 - 8 * q^76 - 42 * q^77 + 32 * q^78 + 28 * q^79 - 12 * q^80 + 20 * q^81 - 76 * q^83 - 52 * q^85 + 90 * q^86 - 172 * q^87 + 44 * q^88 - 224 * q^89 + 4 * q^90 - 92 * q^91 - 28 * q^92 + 12 * q^93 + 154 * q^94 - 28 * q^95 + 4 * q^96 + 288 * q^97 - 8 * q^98 + 840 * 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

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