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

• Label: 2325.2.bl
• Level: $2325$
• Weight: $2$
• Character orbit: 2325.bl
• Rep. character: $\chi_{2325}(89,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $1264$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 2325 = 3 \cdot 5^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2325.bl (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2325 \)
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	1296	0
Cusp forms	1264	1264	0
Eisenstein series	32	32	0

Trace form

1264 * q - 5 * q^3 - 314 * q^4 - 10 * q^6 - 10 * q^7 + 3 * q^9 - 2 * q^10 + 15 * q^12 - 10 * q^13 - 5 * q^15 - 310 * q^16 - 10 * q^18 - 2 * q^19 - 10 * q^22 + 5 * q^24 - 10 * q^25 - 5 * q^27 + 20 * q^28 + 25 * q^30 - 14 * q^31 - 5 * q^33 + 10 * q^34 - 46 * q^36 - 20 * q^37 + 6 * q^39 - 14 * q^40 + 30 * q^42 - 17 * q^45 + 10 * q^46 - 70 * q^48 + 274 * q^49 - 4 * q^51 + 10 * q^52 - 5 * q^54 + 20 * q^55 + 80 * q^57 - 10 * q^58 + 25 * q^60 - 45 * q^63 - 302 * q^64 - 52 * q^66 - 20 * q^67 + 64 * q^69 + 88 * q^70 + 10 * q^73 + 40 * q^75 + 48 * q^76 + 40 * q^78 + 80 * q^79 + 19 * q^81 + 100 * q^84 - 60 * q^85 - 85 * q^87 + 60 * q^88 - 28 * q^90 + 60 * q^91 - 100 * q^93 - 36 * q^94 - 30 * q^96 - 150 * q^97

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

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