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

• Label: 1078.2.o
• Level: $1078$
• Weight: $2$
• Character orbit: 1078.o
• Rep. character: $\chi_{1078}(153,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $336$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 1078 = 2 \cdot 7^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1078.o (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 539 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(336\)

Dimensions

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

	Total	New	Old
Modular forms	1032	336	696
Cusp forms	984	336	648
Eisenstein series	48	0	48

Trace form

336 * q + 56 * q^4 + 56 * q^9 + 6 * q^11 - 8 * q^14 - 20 * q^15 - 56 * q^16 + 28 * q^20 + 14 * q^22 + 52 * q^23 + 56 * q^25 + 28 * q^26 + 84 * q^27 - 56 * q^36 + 16 * q^37 + 28 * q^38 - 116 * q^42 - 6 * q^44 + 112 * q^45 - 56 * q^47 + 72 * q^49 - 112 * q^53 - 168 * q^55 - 20 * q^56 - 60 * q^58 - 28 * q^59 + 20 * q^60 + 56 * q^64 + 8 * q^67 - 56 * q^69 + 4 * q^70 - 8 * q^71 - 46 * q^77 - 32 * q^78 - 160 * q^81 + 60 * q^86 + 14 * q^88 - 168 * q^89 + 164 * q^91 + 32 * q^92 + 24 * q^93 - 144 * 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

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