Space of modular forms of level 2325, weight 2, and Character 2325.bc

• Label: 2325.2.bc
• Level: $2325$
• Weight: $2$
• Character orbit: 2325.bc
• Rep. character: $\chi_{2325}(4,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $640$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 2325 = 3 \cdot 5^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2325.bc (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 775 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2325, [\chi])\).

	Total	New	Old
Modular forms	1296	640	656
Cusp forms	1264	640	624
Eisenstein series	32	0	32

Trace form

640 * q - 640 * q^4 + 4 * q^6 + 160 * q^9 - 28 * q^10 + 18 * q^14 - 4 * q^15 + 640 * q^16 - 14 * q^20 + 8 * q^21 - 60 * q^22 - 20 * q^23 - 12 * q^24 + 12 * q^25 - 60 * q^26 - 16 * q^29 - 8 * q^30 + 4 * q^31 + 30 * q^33 + 64 * q^34 + 90 * q^35 - 160 * q^36 + 10 * q^37 + 40 * q^38 + 68 * q^40 - 6 * q^41 - 10 * q^42 - 20 * q^43 + 14 * q^44 + 32 * q^46 + 70 * q^47 + 136 * q^49 + 28 * q^50 - 20 * q^53 - 4 * q^54 + 2 * q^55 + 36 * q^56 + 48 * q^59 + 12 * q^60 + 24 * q^61 - 10 * q^62 + 10 * q^63 - 652 * q^64 - 4 * q^65 - 60 * q^67 + 46 * q^70 + 24 * q^71 + 20 * q^73 + 22 * q^74 + 8 * q^75 + 52 * q^76 - 160 * q^77 - 60 * q^79 + 160 * q^80 - 160 * q^81 - 30 * q^82 + 20 * q^83 - 24 * q^84 + 8 * q^85 - 12 * q^86 + 30 * q^87 + 240 * q^88 + 6 * q^89 - 12 * q^90 + 50 * q^91 + 130 * q^92 + 20 * q^93 + 34 * q^94 + 144 * q^95 + 8 * q^96 - 40 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2325, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2325, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2325, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(775, [\chi])\)\(^{\oplus 2}\)