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

• Label: 3025.2.cv
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.cv
• Rep. character: $\chi_{3025}(17,\cdot)$
• 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.cv (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 - 56 * q^6 - 88 * q^7 - 78 * q^8 - 244 * q^10 - 60 * q^11 + 206 * q^12 - 34 * q^13 - 100 * q^14 - 74 * q^15 - 708 * q^16 - 88 * q^17 + 164 * q^18 - 120 * q^19 - 46 * q^20 - 66 * q^21 + 80 * q^22 - 56 * q^23 + 40 * q^24 - 100 * q^25 - 164 * q^26 + 120 * q^27 - 138 * q^28 - 100 * q^29 - 78 * q^30 - 64 * q^31 - 18 * q^32 - 38 * q^33 - 90 * q^34 - 78 * q^35 - 444 * q^36 + 148 * q^37 + 360 * q^38 + 10 * q^39 - 100 * q^40 - 56 * q^41 - 204 * q^42 - 88 * q^43 - 100 * q^44 + 306 * q^45 - 56 * q^46 - 82 * q^47 - 28 * q^48 + 110 * q^49 - 188 * q^50 - 156 * q^51 - 78 * q^52 - 34 * q^53 + 550 * q^54 - 190 * q^55 - 62 * q^56 - 224 * q^57 - 94 * q^58 - 130 * q^59 + 16 * q^60 - 66 * q^61 - 118 * q^62 + 344 * q^63 - 180 * q^64 - 88 * q^65 - 96 * q^66 - 432 * q^67 - 208 * q^68 - 120 * q^69 - 24 * q^70 - 64 * q^71 + 480 * q^72 + 12 * q^73 + 110 * q^74 - 114 * q^75 - 176 * q^76 - 168 * q^77 + 34 * q^78 - 180 * q^79 + 224 * q^80 - 25080 * q^81 - 142 * q^82 + 22 * q^83 - 40 * q^84 - 30 * q^85 - 64 * q^86 + 146 * q^87 + 232 * q^88 - 90 * q^89 + 874 * q^90 - 64 * q^91 - 822 * q^92 - 92 * q^93 - 30 * q^94 - 158 * q^95 - 66 * q^96 - 186 * q^97 - 168 * q^98 + 1320 * q^99

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

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