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

• Label: 2925.2.dl
• Level: $2925$
• Weight: $2$
• Character orbit: 2925.dl
• Rep. character: $\chi_{2925}(401,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1040$
• Sturm bound: $840$

Defining parameters

Level:	\( N \)	\(=\)	\( 2925 = 3^{2} \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2925.dl (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 117 \)
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	1728	1088	640
Cusp forms	1632	1040	592
Eisenstein series	96	48	48

Trace form

1040 * q + 6 * q^2 + 2 * q^3 + 6 * q^4 - 2 * q^6 + 6 * q^7 - 6 * q^8 + 2 * q^9 - 30 * q^11 + 18 * q^12 + 2 * q^13 + 12 * q^14 + 490 * q^16 - 42 * q^18 + 12 * q^19 - 6 * q^21 - 2 * q^22 + 12 * q^23 + 34 * q^24 - 48 * q^26 + 8 * q^27 + 16 * q^28 + 6 * q^29 + 2 * q^31 + 42 * q^32 + 52 * q^33 - 10 * q^34 - 18 * q^36 + 10 * q^37 + 36 * q^38 - 16 * q^39 - 42 * q^41 + 48 * q^42 + 60 * q^44 - 20 * q^46 + 42 * q^47 + 34 * q^48 + 20 * q^52 + 64 * q^54 - 36 * q^56 - 34 * q^57 - 8 * q^58 + 42 * q^59 - 12 * q^61 - 18 * q^62 + 10 * q^63 + 60 * q^66 - 12 * q^67 + 48 * q^69 - 48 * q^71 + 78 * q^72 - 6 * q^73 - 70 * q^76 - 72 * q^77 - 34 * q^78 - 8 * q^79 - 26 * q^81 + 12 * q^82 - 36 * q^83 + 166 * q^84 - 126 * q^86 + 74 * q^87 + 6 * q^88 - 60 * q^89 - 32 * q^91 - 64 * q^93 + 52 * q^94 - 104 * q^96 - 44 * q^97 - 60 * q^98 - 32 * q^99

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

\( S_{2}^{\mathrm{old}}(2925, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(117, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 2}\)