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

• Label: 2541.2.s
• Level: $2541$
• Weight: $2$
• Character orbit: 2541.s
• Rep. character: $\chi_{2541}(239,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $864$
• Sturm bound: $704$

Defining parameters

Level:	\( N \)	\(=\)	\( 2541 = 3 \cdot 7 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2541.s (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 33 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(704\)

Dimensions

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

	Total	New	Old
Modular forms	1504	864	640
Cusp forms	1312	864	448
Eisenstein series	192	0	192

Trace form

864 * q - 8 * q^3 - 216 * q^4 + 10 * q^6 + 22 * q^9 + 52 * q^12 - 6 * q^15 - 208 * q^16 + 10 * q^18 + 60 * q^19 - 30 * q^24 + 240 * q^25 - 8 * q^27 + 40 * q^28 - 60 * q^30 - 52 * q^31 - 8 * q^34 + 6 * q^36 - 28 * q^37 + 10 * q^39 + 168 * q^45 + 40 * q^46 - 68 * q^48 + 216 * q^49 + 30 * q^51 + 40 * q^52 + 30 * q^57 - 24 * q^58 + 20 * q^60 - 40 * q^61 - 224 * q^64 + 104 * q^67 - 16 * q^69 - 32 * q^70 - 150 * q^72 - 40 * q^73 - 2 * q^75 + 52 * q^78 + 40 * q^79 - 6 * q^81 + 16 * q^82 - 40 * q^84 + 60 * q^85 - 100 * q^90 - 36 * q^91 + 50 * q^93 - 160 * q^96 + 100 * q^97

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

\( S_{2}^{\mathrm{old}}(2541, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(33, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 2}\)