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

• Label: 495.3.bd
• Level: $495$
• Weight: $3$
• Character orbit: 495.bd
• Rep. character: $\chi_{495}(32,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $560$
• Sturm bound: $216$

Defining parameters

Level:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	495.bd (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 495 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(216\)

Dimensions

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

	Total	New	Old
Modular forms	592	592	0
Cusp forms	560	560	0
Eisenstein series	32	32	0

Trace form

560 * q - 6 * q^3 - 12 * q^5 + 24 * q^11 - 12 * q^12 + 24 * q^15 + 1016 * q^16 + 132 * q^20 + 14 * q^22 - 12 * q^23 - 10 * q^25 + 120 * q^27 - 8 * q^31 + 16 * q^33 - 432 * q^36 + 68 * q^37 - 492 * q^38 + 28 * q^42 + 220 * q^45 - 300 * q^47 - 180 * q^48 - 108 * q^55 + 480 * q^56 - 132 * q^58 + 164 * q^60 - 636 * q^66 + 74 * q^67 + 196 * q^70 - 168 * q^75 - 438 * q^77 - 592 * q^78 - 660 * q^81 + 16 * q^82 - 1752 * q^86 - 162 * q^88 + 304 * q^91 + 720 * q^92 - 142 * q^93 + 98 * q^97

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

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