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

• Label: 2254.2.ba
• Level: $2254$
• Weight: $2$
• Character orbit: 2254.ba
• Rep. character: $\chi_{2254}(83,\cdot)$
• Character field: $\Q(\zeta_{154})$
• Dimension: $6720$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 2254 = 2 \cdot 7^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2254.ba (of order \(154\) and degree \(60\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1127 \)
Character field:			\(\Q(\zeta_{154})\)
Sturm bound:			\(672\)

Dimensions

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

	Total	New	Old
Modular forms	20400	6720	13680
Cusp forms	19920	6720	13200
Eisenstein series	480	0	480

Trace form

6720 * q + 112 * q^4 - 28 * q^6 - 132 * q^9 + 112 * q^16 - 16 * q^18 + 154 * q^20 + 66 * q^21 - 34 * q^23 + 120 * q^25 + 28 * q^26 - 378 * q^27 + 22 * q^28 + 12 * q^29 + 112 * q^35 - 132 * q^36 + 24 * q^39 - 28 * q^41 + 34 * q^46 + 84 * q^47 + 62 * q^49 - 16 * q^50 - 84 * q^54 - 140 * q^55 - 22 * q^56 - 180 * q^58 + 154 * q^59 - 110 * q^63 + 112 * q^64 + 308 * q^65 + 28 * q^69 - 80 * q^70 + 32 * q^71 + 72 * q^72 + 84 * q^73 - 42 * q^77 - 40 * q^78 + 176 * q^79 - 4 * q^81 - 22 * q^84 - 4 * q^85 + 44 * q^86 + 8 * q^92 + 252 * q^93 - 140 * q^94 - 28 * q^95 + 116 * 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

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