Space of modular forms of level 3825, weight 2, and Character 3825.ff

• Label: 3825.2.ff
• Level: $3825$
• Weight: $2$
• Character orbit: 3825.ff
• Rep. character: $\chi_{3825}(2,\cdot)$
• Character field: $\Q(\zeta_{120})$
• Dimension: $17152$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 3825 = 3^{2} \cdot 5^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3825.ff (of order \(120\) and degree \(32\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3825 \)
Character field:			\(\Q(\zeta_{120})\)
Sturm bound:			\(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3825, [\chi])\).

	Total	New	Old
Modular forms	17408	17408	0
Cusp forms	17152	17152	0
Eisenstein series	256	256	0

Trace form

17152 * q - 60 * q^2 - 32 * q^3 + 2128 * q^4 - 48 * q^5 - 24 * q^6 - 16 * q^7 - 40 * q^9 - 80 * q^10 - 36 * q^11 - 52 * q^12 - 60 * q^14 - 44 * q^15 + 2072 * q^16 - 64 * q^18 - 80 * q^19 - 72 * q^20 - 32 * q^22 - 48 * q^23 + 32 * q^24 - 16 * q^25 + 40 * q^27 - 112 * q^28 - 60 * q^29 - 16 * q^30 - 12 * q^31 - 64 * q^33 - 4 * q^34 - 96 * q^36 - 64 * q^37 - 48 * q^38 - 40 * q^39 + 4 * q^40 - 36 * q^41 + 8 * q^42 - 44 * q^45 - 48 * q^46 + 188 * q^48 - 96 * q^50 - 64 * q^51 - 96 * q^52 - 56 * q^54 + 384 * q^56 + 36 * q^57 - 32 * q^58 - 60 * q^59 + 144 * q^60 - 12 * q^61 + 88 * q^63 - 3968 * q^64 - 132 * q^65 - 624 * q^66 - 32 * q^67 - 96 * q^68 - 80 * q^69 - 8 * q^70 + 152 * q^72 - 64 * q^73 - 48 * q^74 - 20 * q^75 - 36 * q^77 + 112 * q^78 - 20 * q^79 - 176 * q^82 - 36 * q^83 - 80 * q^84 + 32 * q^85 - 72 * q^86 - 140 * q^87 - 8 * q^88 - 472 * q^90 - 48 * q^91 - 300 * q^92 - 52 * q^94 - 72 * q^95 + 36 * q^96 + 32 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(3825, [\chi])\) into newform subspaces

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