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

• Label: 2475.2.em
• Level: $2475$
• Weight: $2$
• Character orbit: 2475.em
• Rep. character: $\chi_{2475}(239,\cdot)$
• 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.em (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 - 353 * q^4 - 12 * q^5 - 14 * q^9 + 20 * q^10 - 9 * q^11 - 10 * q^12 - 10 * q^13 - 3 * q^14 + 15 * q^15 + 335 * q^16 - 20 * q^19 - 9 * q^20 - 15 * q^21 - 5 * q^22 - 30 * q^23 - 10 * q^24 - 20 * q^28 - 15 * q^29 + 20 * q^30 - 10 * q^31 - 120 * q^32 - 20 * q^33 - 4 * q^34 - 6 * q^36 - 20 * q^37 + 75 * q^38 - 5 * q^40 - 15 * q^41 + 70 * q^42 - 63 * q^45 - 20 * q^46 - 25 * q^48 + 326 * q^49 - 15 * q^50 - 50 * q^51 + 35 * q^52 + 80 * q^54 - 104 * q^55 - 3 * q^56 - 5 * q^58 + 6 * q^59 - 4 * q^60 + 25 * q^63 + 616 * q^64 + 90 * q^65 + 36 * q^66 - 25 * q^67 - 60 * q^68 + 21 * q^69 - 46 * q^70 + 70 * q^72 - 20 * q^73 - 60 * q^74 - 61 * q^75 - 15 * q^77 + 30 * q^78 - 35 * q^79 - 54 * q^81 + 20 * q^82 - 165 * q^83 + 45 * q^84 - 5 * q^85 - 3 * q^86 - 5 * q^88 - 290 * q^90 + 10 * q^91 - 55 * q^93 + 15 * q^94 - 15 * q^95 - 5 * q^97 - 107 * 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.