Space of modular forms of level 3025, weight 2, and Character 3025.dd

• Label: 3025.2.dd
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.dd
• Rep. character: $\chi_{3025}(13,\cdot)$
• Character field: $\Q(\zeta_{220})$
• Dimension: $26240$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.dd (of order \(220\) and degree \(80\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3025 \)
Character field:			\(\Q(\zeta_{220})\)
Sturm bound:			\(660\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3025, [\chi])\).

	Total	New	Old
Modular forms	26560	26560	0
Cusp forms	26240	26240	0
Eisenstein series	320	320	0

Trace form

26240 * q - 78 * q^2 - 60 * q^3 - 100 * q^4 - 76 * q^5 - 66 * q^6 - 58 * q^7 - 58 * q^8 - 100 * q^9 - 4 * q^10 - 60 * q^11 - 154 * q^12 - 34 * q^13 - 110 * q^14 - 94 * q^15 - 708 * q^16 - 88 * q^17 - 86 * q^18 - 100 * q^19 - 46 * q^20 - 66 * q^21 - 10 * q^22 - 96 * q^23 - 40 * q^24 - 60 * q^25 - 164 * q^26 - 180 * q^27 - 158 * q^28 - 100 * q^29 - 38 * q^30 - 64 * q^31 - 88 * q^32 - 278 * q^33 - 90 * q^34 - 108 * q^35 + 2706 * q^36 - 142 * q^37 - 240 * q^38 - 150 * q^39 - 100 * q^40 - 56 * q^41 + 46 * q^42 + 42 * q^43 - 30 * q^44 - 194 * q^45 - 66 * q^46 - 82 * q^47 - 8 * q^48 + 60 * q^49 - 188 * q^50 - 156 * q^51 - 38 * q^52 - 114 * q^53 - 230 * q^54 + 560 * q^55 - 62 * q^56 - 224 * q^57 - 74 * q^58 - 110 * q^59 - 194 * q^60 - 56 * q^61 - 78 * q^62 + 14 * q^63 - 140 * q^64 - 68 * q^65 - 96 * q^66 + 48 * q^67 - 78 * q^68 - 80 * q^69 - 24 * q^70 - 64 * q^71 - 210 * q^72 - 78 * q^73 - 110 * q^74 - 154 * q^75 - 176 * q^76 - 78 * q^77 + 14 * q^78 + 70 * q^79 + 184 * q^80 + 6220 * q^81 - 122 * q^82 - 178 * q^83 - 210 * q^84 - 90 * q^85 - 64 * q^86 - 94 * q^87 - 178 * q^88 - 40 * q^89 - 256 * q^90 - 64 * q^91 + 238 * q^92 - 112 * q^93 - 200 * q^94 - 168 * q^95 - 16 * q^96 - 146 * q^97 - 158 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(3025, [\chi])\) into newform subspaces

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