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

• Label: 1456.2.gx
• Level: $1456$
• Weight: $2$
• Character orbit: 1456.gx
• Rep. character: $\chi_{1456}(605,\cdot)$
• 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.gx (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 - 6 * q^3 - 12 * q^5 + 12 * q^6 - 8 * q^8 - 6 * q^10 - 6 * q^11 - 24 * q^14 - 16 * q^15 - 4 * q^16 - 24 * q^17 - 16 * q^18 - 6 * q^19 + 18 * q^21 - 4 * q^22 + 12 * q^24 + 408 * q^25 + 6 * q^26 - 6 * q^28 - 4 * q^29 - 16 * q^30 - 12 * q^31 + 18 * q^32 - 12 * q^33 - 12 * q^34 - 2 * q^35 + 8 * q^36 - 60 * q^38 - 72 * q^40 - 34 * q^42 - 12 * q^43 - 2 * q^44 - 12 * q^45 - 28 * q^46 - 12 * q^47 - 12 * q^49 - 2 * q^50 - 36 * q^51 - 6 * q^52 - 4 * q^53 - 18 * q^54 - 60 * q^55 + 4 * q^56 - 12 * q^57 - 22 * q^58 + 84 * q^59 - 36 * q^60 - 6 * q^61 - 36 * q^63 + 48 * q^64 - 4 * q^65 - 108 * q^66 - 6 * q^67 - 68 * q^70 - 74 * q^72 - 60 * q^74 - 12 * q^75 + 24 * q^76 + 14 * q^77 - 28 * q^78 - 8 * q^79 - 60 * q^80 + 380 * q^81 - 36 * q^82 + 128 * q^84 - 42 * q^85 + 58 * q^86 - 22 * q^88 - 108 * q^90 + 14 * q^91 - 32 * q^92 - 24 * q^94 - 6 * q^96 - 70 * 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.