Space of modular forms of level 495, weight 3, and Character 495.o

• Label: 495.3.o
• Level: $495$
• Weight: $3$
• Character orbit: 495.o
• Rep. character: $\chi_{495}(274,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $280$
• Sturm bound: $216$

Defining parameters

Level:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	495.o (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 495 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(216\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(495, [\chi])\).

	Total	New	Old
Modular forms	296	296	0
Cusp forms	280	280	0
Eisenstein series	16	16	0

Trace form

280 * q - 276 * q^4 - 5 * q^5 - 26 * q^9 - 8 * q^11 + 28 * q^14 - 24 * q^15 - 532 * q^16 + 30 * q^20 + q^25 - 80 * q^26 - 34 * q^31 - 20 * q^34 + 152 * q^36 + 456 * q^44 - 313 * q^45 - 816 * q^49 + 22 * q^55 - 172 * q^56 - 118 * q^59 + 6 * q^60 + 1936 * q^64 + 372 * q^66 + 102 * q^69 - 104 * q^70 + 308 * q^71 - 339 * q^75 + 980 * q^80 - 218 * q^81 + 316 * q^86 - 976 * q^89 + 208 * q^91 + 218 * q^99

Decomposition of \(S_{3}^{\mathrm{new}}(495, [\chi])\) into newform subspaces

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