Space of modular forms of level 825, weight 3, and Character 825.cq

• Label: 825.3.cq
• Level: $825$
• Weight: $3$
• Character orbit: 825.cq
• Rep. character: $\chi_{825}(17,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $1888$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 825 = 3 \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	825.cq (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 825 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(825, [\chi])\).

	Total	New	Old
Modular forms	1952	1952	0
Cusp forms	1888	1888	0
Eisenstein series	64	64	0

Trace form

1888 * q - 4 * q^3 - 20 * q^4 - 10 * q^6 + 20 * q^7 + 80 * q^10 + 70 * q^12 - 20 * q^13 + 26 * q^15 + 1788 * q^16 - 10 * q^18 + 80 * q^19 + 208 * q^22 - 160 * q^24 - 96 * q^25 - 70 * q^27 - 260 * q^28 - 10 * q^30 - 4 * q^31 + 12 * q^33 - 40 * q^34 + 30 * q^36 + 200 * q^37 + 480 * q^39 - 20 * q^40 + 198 * q^42 - 38 * q^45 - 20 * q^46 + 14 * q^48 + 200 * q^49 - 20 * q^51 - 20 * q^52 - 600 * q^54 + 384 * q^55 - 650 * q^57 - 292 * q^58 - 416 * q^60 + 480 * q^63 - 220 * q^64 - 222 * q^66 + 276 * q^67 + 990 * q^69 - 280 * q^70 - 650 * q^72 - 860 * q^73 - 86 * q^75 - 668 * q^78 - 1420 * q^79 + 128 * q^81 + 476 * q^82 + 350 * q^84 - 660 * q^85 - 90 * q^87 + 1016 * q^88 + 610 * q^90 - 4 * q^91 + 700 * q^93 - 20 * q^94 - 416 * q^97 - 1210 * q^99

Decomposition of \(S_{3}^{\mathrm{new}}(825, [\chi])\) into newform subspaces

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