Space of modular forms of level 828, weight 3, and Character 828.j

• Label: 828.3.j
• Level: $828$
• Weight: $3$
• Character orbit: 828.j
• Rep. character: $\chi_{828}(275,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $568$
• Sturm bound: $432$

Defining parameters

Level:	\( N \)	\(=\)	\( 828 = 2^{2} \cdot 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	828.j (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 828 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(432\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(828, [\chi])\).

	Total	New	Old
Modular forms	584	584	0
Cusp forms	568	568	0
Eisenstein series	16	16	0

Trace form

568 * q - 6 * q^2 - 2 * q^4 + q^6 - 8 * q^9 - 52 * q^12 - 4 * q^13 - 2 * q^16 - 33 * q^18 - 40 * q^24 - 1344 * q^25 - 156 * q^29 - 6 * q^32 - 45 * q^36 - 12 * q^41 - 80 * q^46 + 14 * q^48 - 1824 * q^49 - 90 * q^50 + 71 * q^52 + 134 * q^54 - 63 * q^58 + 130 * q^64 + 158 * q^69 - 8 * q^70 + 438 * q^72 - 16 * q^73 - 300 * q^77 - 827 * q^78 + 392 * q^81 - 222 * q^82 - 104 * q^85 + 618 * q^92 + 516 * q^93 - 103 * q^94 + 419 * q^96

Decomposition of \(S_{3}^{\mathrm{new}}(828, [\chi])\) into newform subspaces

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