Space of modular forms of level 1547, weight 2, and Character 1547.dw

• Label: 1547.2.dw
• Level: $1547$
• Weight: $2$
• Character orbit: 1547.dw
• Rep. character: $\chi_{1547}(81,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $656$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 1547 = 7 \cdot 13 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1547.dw (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1547 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1547, [\chi])\).

	Total	New	Old
Modular forms	688	688	0
Cusp forms	656	656	0
Eisenstein series	32	32	0

Trace form

656 * q - 4 * q^3 + 324 * q^4 - 4 * q^5 + 4 * q^6 - 2 * q^7 - 20 * q^10 + 12 * q^11 - 20 * q^12 - 16 * q^13 + 16 * q^14 - 308 * q^16 - 2 * q^17 + 16 * q^18 + 4 * q^20 - 32 * q^21 + 12 * q^22 + 2 * q^23 - 24 * q^24 + 20 * q^27 + 40 * q^28 + 4 * q^29 - 40 * q^30 - 4 * q^31 - 24 * q^33 - 40 * q^34 - 28 * q^35 + 2 * q^37 - 40 * q^38 + 40 * q^39 - 4 * q^40 - 4 * q^41 + 16 * q^44 + 34 * q^45 - 32 * q^46 - 8 * q^47 + 24 * q^48 - 16 * q^50 + 20 * q^51 + 36 * q^52 + 22 * q^54 - 88 * q^55 + 64 * q^56 - 4 * q^57 - 84 * q^58 + 52 * q^61 - 28 * q^62 + 86 * q^63 - 592 * q^64 - 56 * q^65 - 40 * q^67 + 22 * q^68 + 80 * q^69 - 36 * q^71 + 136 * q^72 + 28 * q^73 - 70 * q^74 - 64 * q^75 + 86 * q^78 + 52 * q^80 - 488 * q^81 - 8 * q^82 + 60 * q^84 - 36 * q^85 - 16 * q^86 + 68 * q^88 + 4 * q^89 + 32 * q^90 - 90 * q^91 + 32 * q^92 + 22 * q^95 - 16 * q^96 - 28 * q^97 - 132 * q^98 + 96 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1547, [\chi])\) into newform subspaces

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