Space of modular forms of level 2254, weight 2, and Character 2254.be

• Label: 2254.2.be
• Level: $2254$
• Weight: $2$
• Character orbit: 2254.be
• Rep. character: $\chi_{2254}(5,\cdot)$
• Character field: $\Q(\zeta_{462})$
• Dimension: $13440$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 2254 = 2 \cdot 7^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2254.be (of order \(462\) and degree \(120\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1127 \)
Character field:			\(\Q(\zeta_{462})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2254, [\chi])\).

	Total	New	Old
Modular forms	40800	13440	27360
Cusp forms	39840	13440	26400
Eisenstein series	960	0	960

Trace form

13440 * q - 112 * q^4 + 28 * q^6 + 144 * q^9 - 112 * q^16 - 8 * q^18 - 154 * q^20 + 132 * q^21 + 46 * q^23 + 12 * q^24 - 108 * q^25 - 40 * q^26 + 378 * q^27 + 44 * q^28 - 12 * q^29 - 12 * q^31 - 100 * q^35 - 204 * q^36 + 12 * q^39 - 56 * q^41 + 80 * q^46 - 60 * q^47 + 214 * q^49 + 16 * q^50 - 96 * q^54 - 280 * q^55 + 22 * q^56 - 468 * q^58 + 2 * q^59 + 110 * q^63 + 224 * q^64 + 154 * q^65 - 28 * q^69 + 44 * q^70 - 32 * q^71 + 36 * q^72 - 84 * q^73 - 96 * q^75 + 18 * q^77 + 40 * q^78 + 88 * q^79 - 212 * q^81 + 48 * q^82 + 22 * q^84 + 4 * q^85 + 22 * q^86 + 294 * q^87 - 8 * q^92 + 84 * q^93 + 104 * q^94 - 14 * q^95 - 12 * q^96 - 44 * q^98 + 88 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2254, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2254, [\chi])\) into lower level spaces

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