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

• Label: 1456.2.fa
• Level: $1456$
• Weight: $2$
• Character orbit: 1456.fa
• Rep. character: $\chi_{1456}(515,\cdot)$
• 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.fa (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 - 4 * q^3 - 4 * q^5 - 8 * q^7 - 8 * q^8 + 16 * q^10 - 4 * q^11 - 8 * q^13 - 40 * q^14 + 24 * q^15 - 4 * q^16 - 16 * q^18 - 4 * q^19 - 8 * q^20 - 16 * q^22 - 8 * q^24 - 408 * q^25 - 14 * q^26 - 40 * q^27 - 10 * q^28 - 16 * q^29 - 20 * q^30 - 12 * q^32 - 4 * q^33 - 80 * q^34 - 8 * q^35 + 40 * q^36 + 36 * q^38 - 4 * q^39 - 44 * q^40 - 28 * q^42 + 6 * q^44 + 20 * q^46 + 64 * q^48 - 16 * q^50 + 20 * q^52 - 4 * q^53 + 26 * q^54 - 32 * q^55 + 20 * q^56 + 24 * q^57 + 26 * q^58 + 28 * q^59 + 20 * q^60 - 4 * q^61 - 12 * q^63 + 96 * q^64 - 4 * q^65 - 24 * q^66 - 4 * q^67 - 36 * q^68 - 58 * q^70 - 80 * q^71 - 26 * q^72 + 52 * q^74 - 20 * q^75 + 8 * q^76 + 28 * q^77 - 28 * q^78 - 38 * q^80 + 368 * q^81 + 20 * q^82 - 16 * q^83 + 90 * q^84 - 26 * q^86 - 8 * q^87 - 32 * q^88 + 24 * q^90 + 8 * q^91 - 48 * q^92 + 20 * q^94 + 80 * q^95 - 82 * q^96 - 16 * q^97 - 34 * q^98

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

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