Space of modular forms of level 2254, weight 4, and Character 2254.t

• Label: 2254.4.t
• Level: $2254$
• Weight: $4$
• Character orbit: 2254.t
• Rep. character: $\chi_{2254}(45,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $4032$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 2254 = 2 \cdot 7^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2254.t (of order \(42\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1127 \)
Character field:			\(\Q(\zeta_{42})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2254, [\chi])\).

	Total	New	Old
Modular forms	12144	4032	8112
Cusp forms	12048	4032	8016
Eisenstein series	96	0	96

Trace form

4032 * q + 1344 * q^4 + 56 * q^6 - 3248 * q^9 + 5376 * q^16 - 112 * q^18 + 658 * q^23 + 96 * q^24 + 8176 * q^25 + 848 * q^26 - 168 * q^27 + 364 * q^29 - 264 * q^31 - 1240 * q^35 + 23632 * q^36 + 420 * q^39 + 448 * q^41 + 3080 * q^46 + 936 * q^47 + 8812 * q^49 - 224 * q^50 - 2736 * q^54 - 1680 * q^55 - 4368 * q^58 - 4548 * q^59 - 43008 * q^64 - 1820 * q^69 - 1976 * q^70 - 896 * q^71 - 448 * q^72 + 1176 * q^73 - 5424 * q^75 - 5956 * q^77 + 1680 * q^78 + 47740 * q^81 + 864 * q^82 + 1344 * q^85 + 1020 * q^87 - 560 * q^92 + 32592 * q^93 + 6096 * q^94 - 280 * q^95 - 384 * q^96 + 11808 * q^98

Decomposition of \(S_{4}^{\mathrm{new}}(2254, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2254, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2254, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(1127, [\chi])\)\(^{\oplus 2}\)