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

• Label: 3025.2.ci
• Level: $3025$
• Weight: $2$
• Character orbit: 3025.ci
• Rep. character: $\chi_{3025}(169,\cdot)$
• Character field: $\Q(\zeta_{110})$
• Dimension: $13120$
• Sturm bound: $660$

Defining parameters

Level:	\( N \)	\(=\)	\( 3025 = 5^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3025.ci (of order \(110\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3025 \)
Character field:			\(\Q(\zeta_{110})\)
Sturm bound:			\(660\)

Dimensions

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

	Total	New	Old
Modular forms	13280	13280	0
Cusp forms	13120	13120	0
Eisenstein series	160	160	0

Trace form

13120 * q - 50 * q^2 - 50 * q^3 - 358 * q^4 - 38 * q^5 + 11 * q^6 + 10 * q^7 - 40 * q^8 + 3230 * q^9 - 2 * q^10 - 50 * q^11 - 55 * q^12 - 50 * q^13 - 19 * q^14 - 68 * q^15 + 284 * q^16 - 55 * q^17 + 15 * q^18 - 48 * q^19 - 67 * q^20 - 73 * q^21 + 130 * q^22 - 25 * q^23 - 136 * q^24 - 40 * q^25 - 54 * q^26 + 100 * q^27 - 20 * q^28 - 44 * q^29 - 8 * q^30 - 34 * q^31 - 225 * q^33 - 29 * q^34 - 6 * q^35 - 1453 * q^36 + 110 * q^37 + 240 * q^38 - 112 * q^39 + 15 * q^40 - 19 * q^41 - 155 * q^42 - 31 * q^44 - 2 * q^45 - 35 * q^46 - 70 * q^47 - 30 * q^48 - 412 * q^49 - 124 * q^50 - 135 * q^51 - 55 * q^52 - 55 * q^53 + 11 * q^54 - 398 * q^55 + 3 * q^56 - 40 * q^57 - 40 * q^58 - 39 * q^59 - 103 * q^60 - 20 * q^61 - 55 * q^62 - 40 * q^63 - 336 * q^64 - 17 * q^65 - 14 * q^66 - 85 * q^67 - 145 * q^68 + 66 * q^69 + 15 * q^70 + 92 * q^71 + 40 * q^72 - 50 * q^73 - 93 * q^74 - 11 * q^75 - 298 * q^76 - 105 * q^77 + 15 * q^78 + 101 * q^79 + 45 * q^80 - 3068 * q^81 + 10 * q^82 - 55 * q^83 + q^84 - 28 * q^85 - 40 * q^86 - 85 * q^87 - 60 * q^88 + 88 * q^89 - 109 * q^90 - 42 * q^91 + 20 * q^92 + 55 * q^93 - 804 * q^94 + 225 * q^95 - 12 * q^96 - 55 * q^97 - 80 * q^98 + 104 * 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.