Space of modular forms of level 2925, weight 2, and Character 2925.gz

• Label: 2925.2.gz
• Level: $2925$
• Weight: $2$
• Character orbit: 2925.gz
• Rep. character: $\chi_{2925}(38,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $6656$
• Sturm bound: $840$

Defining parameters

Level:	\( N \)	\(=\)	\( 2925 = 3^{2} \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2925.gz (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2925 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2925, [\chi])\).

	Total	New	Old
Modular forms	6784	6784	0
Cusp forms	6656	6656	0
Eisenstein series	128	128	0

Trace form

6656 * q - 32 * q^3 - 20 * q^4 - 40 * q^9 - 64 * q^10 - 28 * q^12 - 8 * q^13 - 60 * q^14 - 820 * q^16 - 32 * q^22 - 16 * q^25 - 44 * q^27 - 60 * q^29 - 28 * q^30 + 8 * q^36 + 48 * q^38 - 60 * q^39 - 32 * q^40 - 16 * q^42 - 16 * q^43 + 196 * q^48 - 64 * q^51 - 8 * q^52 - 104 * q^55 - 36 * q^56 - 12 * q^61 - 80 * q^64 + 48 * q^65 - 72 * q^66 + 100 * q^69 - 100 * q^75 - 240 * q^77 + 110 * q^78 - 20 * q^79 - 24 * q^81 + 16 * q^82 - 156 * q^87 + 64 * q^88 - 152 * q^90 - 24 * q^91 - 216 * q^92 - 140 * q^94 + 12 * q^95

Decomposition of \(S_{2}^{\mathrm{new}}(2925, [\chi])\) into newform subspaces

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