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

• Label: 3825.2.ek
• Level: $3825$
• Weight: $2$
• Character orbit: 3825.ek
• Rep. character: $\chi_{3825}(203,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $8576$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 3825 = 3^{2} \cdot 5^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3825.ek (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3825 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(1080\)

Dimensions

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

	Total	New	Old
Modular forms	8704	8704	0
Cusp forms	8576	8576	0
Eisenstein series	128	128	0

Trace form

8576 * q - 48 * q^2 - 20 * q^4 - 40 * q^9 - 16 * q^13 - 44 * q^15 - 1060 * q^16 - 40 * q^18 - 80 * q^19 - 24 * q^21 - 16 * q^25 - 24 * q^30 + 60 * q^32 - 44 * q^33 - 10 * q^34 + 8 * q^36 - 72 * q^38 - 124 * q^42 - 16 * q^43 + 12 * q^47 - 48 * q^50 - 32 * q^51 + 48 * q^52 - 104 * q^55 - 60 * q^59 - 164 * q^60 - 80 * q^64 - 72 * q^66 - 16 * q^67 - 288 * q^68 - 180 * q^69 + 24 * q^70 - 24 * q^72 - 64 * q^76 - 48 * q^77 - 24 * q^81 - 48 * q^83 + 200 * q^84 - 32 * q^85 - 36 * q^86 - 8 * q^87 - 144 * q^93 - 20 * q^94

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

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