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

• Label: 3825.2.dh
• Level: $3825$
• Weight: $2$
• Character orbit: 3825.dh
• Rep. character: $\chi_{3825}(169,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $4288$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 3825 = 3^{2} \cdot 5^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3825.dh (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3825 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(1080\)

Dimensions

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

	Total	New	Old
Modular forms	4352	4352	0
Cusp forms	4288	4288	0
Eisenstein series	64	64	0

Trace form

4288 * q - 10 * q^2 - 538 * q^4 - 40 * q^8 - 12 * q^9 - 10 * q^13 - 28 * q^15 + 510 * q^16 - 20 * q^17 - 24 * q^19 - 18 * q^21 - 8 * q^25 - 240 * q^26 - 24 * q^30 - 20 * q^33 - 7 * q^34 - 10 * q^36 - 10 * q^38 + 140 * q^42 + 40 * q^47 - 2064 * q^49 + 6 * q^50 - 26 * q^51 - 30 * q^52 - 40 * q^53 - 12 * q^55 + 42 * q^59 - 50 * q^60 + 936 * q^64 + 188 * q^66 - 10 * q^67 - 66 * q^69 - 48 * q^70 - 60 * q^72 + 16 * q^76 + 130 * q^77 - 12 * q^81 - 150 * q^83 + 142 * q^84 - 11 * q^85 - 10 * q^86 - 170 * q^87 + 72 * q^89 + 10 * q^94 + 140 * q^98

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

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