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

• Label: 2925.2.dv
• Level: $2925$
• Weight: $2$
• Character orbit: 2925.dv
• Rep. character: $\chi_{2925}(107,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $336$
• Sturm bound: $840$

Defining parameters

Level:	\( N \)	\(=\)	\( 2925 = 3^{2} \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2925.dv (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 195 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(840\)

Dimensions

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

	Total	New	Old
Modular forms	1776	336	1440
Cusp forms	1584	336	1248
Eisenstein series	192	0	192

Trace form

\( 336 q - 20 q^{13} + 168 q^{16} + 16 q^{22} + 32 q^{31} + 12 q^{37} - 24 q^{43} + 32 q^{46} - 16 q^{52} - 52 q^{58} - 48 q^{61} - 96 q^{67} + 136 q^{73} + 32 q^{76} - 124 q^{82} + 96 q^{88} - 40 q^{91} - 16 q^{97}+O(q^{100}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(2925, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2925, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(195, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(975, [\chi])\)\(^{\oplus 2}\)