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

• Label: 825.3.t
• Level: $825$
• Weight: $3$
• Character orbit: 825.t
• Rep. character: $\chi_{825}(71,\cdot)$
• 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.t (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 - 4 * q^3 - 1868 * q^4 + 3 * q^6 - 16 * q^7 + 14 * q^9 + 24 * q^10 - 32 * q^12 + 10 * q^13 + 2 * q^15 + 3500 * q^16 + 18 * q^18 + 28 * q^19 - 15 * q^21 - 30 * q^22 + 36 * q^24 - 38 * q^25 + 95 * q^27 - 122 * q^28 - 47 * q^30 + 78 * q^31 + 12 * q^33 - 4 * q^34 - 133 * q^36 - 118 * q^37 - 65 * q^39 + 88 * q^40 + 127 * q^42 - 104 * q^43 - 77 * q^45 + 86 * q^46 + 94 * q^48 - 1476 * q^49 + 3 * q^51 - 330 * q^52 - 42 * q^54 - 196 * q^55 + 324 * q^57 - 212 * q^58 - 96 * q^60 - 22 * q^61 + 525 * q^63 - 6212 * q^64 + 340 * q^66 + 218 * q^67 + 168 * q^69 - 300 * q^70 - 114 * q^72 + 686 * q^73 - 112 * q^75 - 496 * q^76 - 385 * q^78 + 138 * q^79 - 66 * q^81 - 284 * q^82 - 50 * q^84 + 282 * q^85 + 272 * q^87 + 506 * q^88 - 555 * q^90 + 230 * q^91 + 119 * q^93 - 134 * q^94 - 516 * q^96 - 544 * 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.