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

• Label: 2475.2.es
• Level: $2475$
• Weight: $2$
• Character orbit: 2475.es
• Rep. character: $\chi_{2475}(194,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $2848$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2475 = 3^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2475.es (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2475 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(720\)

Dimensions

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

	Total	New	Old
Modular forms	2912	2912	0
Cusp forms	2848	2848	0
Eisenstein series	64	64	0

Trace form

2848 * q - 15 * q^2 - 5 * q^3 - 353 * q^4 - 12 * q^5 + q^9 - 9 * q^11 + 10 * q^12 - 5 * q^13 - 18 * q^14 - 10 * q^15 + 345 * q^16 - 20 * q^19 + 51 * q^20 - 5 * q^22 - 30 * q^23 - 40 * q^24 - 50 * q^27 - 20 * q^28 - 15 * q^29 - 10 * q^30 - 10 * q^31 - 50 * q^33 - 4 * q^34 + 4 * q^36 - 135 * q^38 - 45 * q^39 - 30 * q^40 - 15 * q^41 - 60 * q^42 - 13 * q^45 - 15 * q^47 - 30 * q^48 + 326 * q^49 - 15 * q^50 + 10 * q^51 - 90 * q^52 + 60 * q^54 + 6 * q^55 - 108 * q^56 + 15 * q^58 - 24 * q^59 + 21 * q^60 - 5 * q^61 - 45 * q^63 + 656 * q^64 + 66 * q^66 - 25 * q^67 + 60 * q^68 - 4 * q^69 - 46 * q^70 - 85 * q^72 - 20 * q^73 - 31 * q^75 - 135 * q^77 - 80 * q^78 - 19 * q^81 - 20 * q^82 + 270 * q^83 - 5 * q^85 - 3 * q^86 - 45 * q^88 - 70 * q^90 + 10 * q^91 + 45 * q^92 - 105 * q^93 - 210 * q^95 - 140 * q^96 - 22 * q^99

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

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