Space of modular forms of level 2775, weight 2, and Character 2775.cw

• Label: 2775.2.cw
• Level: $2775$
• Weight: $2$
• Character orbit: 2775.cw
• Rep. character: $\chi_{2775}(64,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $1536$
• Sturm bound: $760$

Defining parameters

Level:	\( N \)	\(=\)	\( 2775 = 3 \cdot 5^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2775.cw (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 925 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(760\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2775, [\chi])\).

	Total	New	Old
Modular forms	3072	1536	1536
Cusp forms	3008	1536	1472
Eisenstein series	64	0	64

Trace form

1536 * q + 196 * q^4 + 12 * q^5 - 192 * q^9 + 4 * q^10 + 204 * q^16 + 120 * q^20 - 8 * q^21 - 4 * q^25 + 48 * q^26 - 16 * q^30 - 18 * q^34 - 42 * q^35 + 392 * q^36 - 20 * q^37 - 16 * q^40 - 42 * q^41 - 42 * q^44 + 24 * q^46 + 80 * q^47 + 832 * q^49 + 162 * q^50 - 150 * q^52 - 120 * q^53 - 42 * q^55 - 130 * q^58 + 108 * q^59 - 84 * q^61 - 392 * q^64 - 50 * q^65 + 20 * q^67 - 8 * q^70 + 8 * q^71 - 100 * q^74 + 8 * q^75 - 40 * q^77 + 192 * q^81 + 96 * q^84 - 168 * q^85 - 180 * q^89 + 2 * q^90 - 36 * q^91 - 10 * q^95 + 90 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(2775, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2775, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2775, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(925, [\chi])\)\(^{\oplus 2}\)