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

• Label: 825.3.ch
• Level: $825$
• Weight: $3$
• Character orbit: 825.ch
• Rep. character: $\chi_{825}(104,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $944$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 825 = 3 \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	825.ch (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 825 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(360\)

Dimensions

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

	Total	New	Old
Modular forms	976	976	0
Cusp forms	944	944	0
Eisenstein series	32	32	0

Trace form

944 * q - 10 * q^3 + 1844 * q^4 - 5 * q^6 + 20 * q^7 + 14 * q^9 - 24 * q^10 - 70 * q^12 - 10 * q^13 + 24 * q^15 + 3644 * q^16 - 40 * q^18 + 28 * q^19 + 3 * q^21 + 70 * q^22 - 80 * q^24 - 50 * q^25 + 155 * q^27 - 210 * q^28 - 59 * q^30 - 82 * q^31 + 20 * q^33 - 20 * q^34 + 99 * q^36 - 170 * q^37 - 137 * q^39 - 116 * q^40 + 55 * q^42 + 339 * q^45 - 90 * q^46 - 370 * q^48 + 1492 * q^49 - 15 * q^51 - 210 * q^52 - 90 * q^54 - 216 * q^55 - 90 * q^57 - 74 * q^60 + 18 * q^61 - 555 * q^63 + 7004 * q^64 - 490 * q^66 - 870 * q^67 + 220 * q^69 - 120 * q^70 + 40 * q^72 - 10 * q^73 + 186 * q^75 + 48 * q^76 + 325 * q^78 + 138 * q^79 - 146 * q^81 - 40 * q^82 - 72 * q^84 - 374 * q^85 - 10 * q^87 - 210 * q^88 - 159 * q^90 - 234 * q^91 - 85 * q^93 - 150 * q^94 + 50 * q^96 + 640 * q^97 + 555 * 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.