Space of modular forms of level 2541, weight 2, and Character 2541.bi

• Label: 2541.2.bi
• Level: $2541$
• Weight: $2$
• Character orbit: 2541.bi
• Rep. character: $\chi_{2541}(40,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $1152$
• Sturm bound: $704$

Defining parameters

Level:	\( N \)	\(=\)	\( 2541 = 3 \cdot 7 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2541.bi (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 77 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(704\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2541, [\chi])\).

	Total	New	Old
Modular forms	3008	1152	1856
Cusp forms	2624	1152	1472
Eisenstein series	384	0	384

Trace form

1152 * q - 148 * q^4 - 12 * q^5 + 10 * q^7 + 40 * q^8 - 144 * q^9 - 28 * q^14 - 12 * q^15 + 112 * q^16 + 60 * q^17 + 10 * q^18 + 24 * q^23 + 90 * q^24 - 140 * q^25 - 24 * q^26 - 30 * q^28 - 40 * q^29 + 18 * q^31 + 80 * q^35 - 296 * q^36 + 12 * q^37 + 24 * q^38 + 90 * q^40 - 22 * q^42 - 12 * q^45 - 70 * q^46 + 36 * q^47 + 98 * q^49 + 20 * q^51 - 8 * q^53 + 232 * q^56 + 48 * q^58 - 96 * q^59 - 12 * q^60 - 30 * q^61 + 10 * q^63 + 360 * q^64 + 56 * q^67 - 180 * q^68 - 154 * q^70 + 64 * q^71 - 10 * q^72 - 90 * q^73 - 40 * q^74 + 48 * q^75 + 168 * q^78 - 50 * q^79 - 276 * q^80 + 144 * q^81 - 192 * q^82 + 60 * q^84 + 20 * q^85 - 138 * q^86 - 48 * q^89 + 16 * q^91 + 204 * q^92 - 8 * q^93 - 10 * q^95

Decomposition of \(S_{2}^{\mathrm{new}}(2541, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2541, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2541, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 2}\)