Space of modular forms of level 1456, weight 2, and Character 1456.fm

• Label: 1456.2.fm
• Level: $1456$
• Weight: $2$
• Character orbit: 1456.fm
• Rep. character: $\chi_{1456}(3,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $880$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1456 = 2^{4} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1456.fm (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1456 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1456, [\chi])\).

	Total	New	Old
Modular forms	912	912	0
Cusp forms	880	880	0
Eisenstein series	32	32	0

Trace form

880 * q + 2 * q^2 + 2 * q^4 - 12 * q^5 - 4 * q^7 - 16 * q^8 - 4 * q^11 - 12 * q^12 - 28 * q^14 + 2 * q^16 - 12 * q^17 + 4 * q^18 - 24 * q^20 - 2 * q^21 - 16 * q^22 + 4 * q^23 - 6 * q^26 + 28 * q^28 - 4 * q^29 - 20 * q^30 + 2 * q^32 + 8 * q^35 + 12 * q^36 + 2 * q^37 - 12 * q^38 - 4 * q^39 + 48 * q^40 - 86 * q^42 - 4 * q^43 - 12 * q^44 - 42 * q^45 + 8 * q^46 - 4 * q^49 - 8 * q^50 + 8 * q^51 - 96 * q^52 - 4 * q^53 + 66 * q^54 + 4 * q^56 - 4 * q^58 + 42 * q^59 - 36 * q^60 - 12 * q^62 - 16 * q^64 - 4 * q^65 + 48 * q^66 - 4 * q^67 - 66 * q^68 + 36 * q^69 + 8 * q^70 + 56 * q^71 + 140 * q^72 - 26 * q^74 + 24 * q^75 - 22 * q^77 + 100 * q^78 - 760 * q^81 - 64 * q^84 - 14 * q^85 - 20 * q^86 - 12 * q^87 - 4 * q^88 - 26 * q^91 + 40 * q^92 - 10 * q^93 + 48 * q^96 + 24 * q^98 + 32 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1456, [\chi])\) into newform subspaces

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