Space of modular forms of level 1456, weight 4, and Character 1456.ez

• Label: 1456.4.ez
• Level: $1456$
• Weight: $4$
• Character orbit: 1456.ez
• Rep. character: $\chi_{1456}(229,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $2672$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 1456 = 2^{4} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1456.ez (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1456 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1456, [\chi])\).

	Total	New	Old
Modular forms	2704	2704	0
Cusp forms	2672	2672	0
Eisenstein series	32	32	0

Trace form

2672 * q - 2 * q^2 - 12 * q^3 - 8 * q^8 - 4 * q^11 - 424 * q^14 - 16 * q^15 - 4 * q^16 + 20 * q^18 - 12 * q^19 + 100 * q^21 - 16 * q^22 - 384 * q^24 - 32600 * q^25 + 42 * q^26 + 350 * q^28 - 16 * q^29 - 500 * q^30 - 12 * q^31 - 72 * q^32 - 12 * q^33 - 8 * q^35 - 1400 * q^36 - 4 * q^37 - 1740 * q^38 - 4692 * q^40 + 332 * q^42 - 362 * q^44 - 336 * q^45 - 40 * q^46 - 12 * q^47 - 1240 * q^50 + 2316 * q^52 - 4 * q^53 - 1350 * q^54 + 1300 * q^56 - 216 * q^57 - 1386 * q^58 + 4116 * q^59 - 1072 * q^60 - 12 * q^61 - 1380 * q^63 - 3744 * q^64 - 4 * q^65 - 3312 * q^66 - 4 * q^67 - 12 * q^68 - 1686 * q^70 + 3118 * q^72 + 3636 * q^74 + 1500 * q^75 + 1372 * q^77 + 10684 * q^78 - 8 * q^79 - 10314 * q^80 + 103024 * q^81 + 8580 * q^82 + 7602 * q^84 + 984 * q^85 - 4382 * q^86 - 2048 * q^88 - 424 * q^91 + 496 * q^92 - 220 * q^93 + 14028 * q^94 - 7746 * q^96 + 4170 * q^98

Decomposition of \(S_{4}^{\mathrm{new}}(1456, [\chi])\) into newform subspaces

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