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

• Label: 2925.2.fm
• Level: $2925$
• Weight: $2$
• Character orbit: 2925.fm
• Rep. character: $\chi_{2925}(259,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $3328$
• Sturm bound: $840$

Defining parameters

Level:	\( N \)	\(=\)	\( 2925 = 3^{2} \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2925.fm (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2925 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(840\)

Dimensions

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

	Total	New	Old
Modular forms	3392	3392	0
Cusp forms	3328	3328	0
Eisenstein series	64	64	0

Trace form

3328 * q - 20 * q^3 + 406 * q^4 - 12 * q^9 - 40 * q^10 - 20 * q^12 - 5 * q^13 + 34 * q^14 + 406 * q^16 - 40 * q^17 - 10 * q^22 - 10 * q^23 - 8 * q^25 - 40 * q^26 - 20 * q^27 + 18 * q^29 - 38 * q^30 + 56 * q^35 - 16 * q^36 - 10 * q^38 - 8 * q^39 + 2 * q^40 + 40 * q^42 - 170 * q^48 - 1584 * q^49 - 88 * q^51 + 5 * q^52 - 40 * q^53 - 12 * q^55 - 24 * q^56 - 6 * q^61 - 100 * q^62 - 808 * q^64 + q^65 + 16 * q^66 + 42 * q^69 - 168 * q^74 - 8 * q^75 + 170 * q^77 - 150 * q^78 - 6 * q^79 - 140 * q^81 - 70 * q^87 - 10 * q^88 + 136 * q^90 + 30 * q^91 + 110 * q^92 + 14 * q^94 + 14 * 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.