Space of modular forms of level 2475, weight 2, and Character 2475.gg

• Label: 2475.2.gg
• Level: $2475$
• Weight: $2$
• Character orbit: 2475.gg
• Rep. character: $\chi_{2475}(13,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $5696$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2475 = 3^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2475.gg (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2475 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2475, [\chi])\).

	Total	New	Old
Modular forms	5824	5824	0
Cusp forms	5696	5696	0
Eisenstein series	128	128	0

Trace form

5696 * q - 10 * q^2 - 14 * q^3 - 10 * q^4 - 6 * q^5 - 10 * q^7 - 30 * q^9 - 6 * q^11 - 24 * q^12 - 10 * q^13 - 20 * q^15 - 690 * q^16 - 40 * q^17 - 20 * q^18 - 40 * q^19 - 6 * q^20 - 12 * q^23 - 40 * q^24 - 12 * q^25 - 48 * q^26 + 4 * q^27 - 80 * q^28 - 10 * q^29 - 20 * q^30 - 2 * q^31 + 66 * q^33 - 20 * q^34 - 40 * q^35 - 72 * q^36 - 72 * q^37 - 22 * q^38 + 80 * q^39 - 10 * q^40 - 10 * q^41 - 44 * q^42 - 40 * q^44 - 44 * q^45 + 2 * q^47 + 16 * q^48 - 10 * q^50 - 40 * q^51 + 70 * q^52 + 96 * q^53 + 120 * q^54 - 52 * q^55 - 28 * q^56 - 100 * q^57 - 6 * q^58 + 8 * q^60 - 10 * q^61 - 40 * q^62 + 50 * q^63 + 40 * q^64 - 48 * q^66 - 10 * q^67 - 10 * q^68 - 20 * q^69 - 66 * q^70 + 52 * q^71 + 150 * q^72 - 40 * q^73 - 52 * q^75 + 20 * q^77 + 24 * q^78 + 100 * q^79 + 128 * q^80 + 26 * q^81 - 8 * q^82 + 90 * q^83 - 160 * q^84 - 10 * q^85 - 2 * q^86 - 160 * q^87 + 100 * q^88 + 20 * q^89 + 60 * q^90 - 8 * q^91 - 34 * q^92 + 122 * q^93 - 20 * q^94 + 40 * q^95 + 20 * q^96 - 12 * q^97 - 140 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2475, [\chi])\) into newform subspaces

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