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

• Label: 2925.2.bn
• Level: $2925$
• Weight: $2$
• Character orbit: 2925.bn
• Rep. character: $\chi_{2925}(751,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $520$
• Sturm bound: $840$

Defining parameters

Level:	\( N \)	\(=\)	\( 2925 = 3^{2} \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2925.bn (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 117 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(840\)

Dimensions

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

	Total	New	Old
Modular forms	864	544	320
Cusp forms	816	520	296
Eisenstein series	48	24	24

Trace form

520 * q + 3 * q^2 + q^3 + 253 * q^4 - 9 * q^6 - q^9 - 9 * q^11 - q^12 + 22 * q^14 - 237 * q^16 + 10 * q^17 + 6 * q^18 + 3 * q^19 - 15 * q^21 + 7 * q^22 - 30 * q^23 + 24 * q^24 + 4 * q^26 + 10 * q^27 + 12 * q^29 + 12 * q^31 - 27 * q^32 + 30 * q^33 - 18 * q^34 + 21 * q^36 + 9 * q^37 + 20 * q^38 - 43 * q^39 - 26 * q^42 + 10 * q^43 - 18 * q^46 - 33 * q^47 - 60 * q^48 - 450 * q^49 - 37 * q^51 - 20 * q^52 + 44 * q^53 + 78 * q^54 + 124 * q^56 - 27 * q^57 + 3 * q^58 + 27 * q^59 - 20 * q^61 + 11 * q^62 + 12 * q^63 - 426 * q^64 - 44 * q^66 + 16 * q^68 + 6 * q^69 + 30 * q^71 + 15 * q^72 - 94 * q^74 + 8 * q^77 - 41 * q^78 - 3 * q^79 - 37 * q^81 - 23 * q^82 + 33 * q^83 + 96 * q^84 + 90 * q^86 + 3 * q^87 + 5 * q^88 + 39 * q^89 - 28 * q^91 - 6 * q^92 + 9 * q^93 - 34 * q^94 + 165 * q^96 - 153 * q^98 - 12 * 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

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