Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 12

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showing 59 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#157 [1, -1, 0, -227292004, 882331831684] ≥ 12 trivial 57.76 61.29 3.81 69.34
#761 [0, 0, 1, -2558717707, 49801921968156] ≥ 12 trivial 58.33 61.77 4.12 76.60
#762 [1, 1, 0, -546508862, 5450614684680] ≥ 12 trivial 58.42 63.04 3.99 72.18
#88 [0, 0, 0, -932733487, 11052354147250] ≥ 12 trivial 58.53 61.99 3.99 73.59
#784 [0, 0, 0, -1410298617, 20439456397265] ≥ 12 trivial 58.54 62.13 4.05 74.82
#785 [1, -1, 0, -266451964, 1712164041364] ≥ 12 trivial 58.59 59.28 3.72 69.86
#3460 [0, -1, 0, -3750893540, 87321690999876] ≥ 12 trivial 58.60 66.59 4.35 77.75
#786 [1, -1, 1, -40458649392, 31233082188297…] ≥ 12 trivial 58.72 72.27 4.89 84.88
#787 [0, -1, 0, -1006329305, 12582779623101] ≥ 12 trivial 58.76 63.32 4.06 73.85
#788 [1, -1, 0, -1865252986, 30958962950848] ≥ 12 trivial 58.79 62.42 4.09 75.65
#789 [0, 0, 0, -1809511249, 29321959247689] ≥ 12 trivial 59.12 64.22 4.16 75.56
#476 [0, 0, 1, -332557057, 2359264710636] ≥ 12 trivial 59.19 59.19 3.74 70.50
#556 [0, 0, 1, -160923919, 872942963892] ≥ 12 trivial 59.40 59.40 3.68 68.51
#475 [0, 0, 1, -113679727, 682491235476] ≥ 12 trivial 59.94 59.94 3.70 68.02
#681 [0, -1, 0, -226840098905, 45234150343722…] ≥ 12 trivial 60.51 80.90 5.48 90.22
#105 [1, -1, 1, -46496231372, 38274332589385…] ≥ 12 trivial 62.40 73.73 4.96 85.30
#3910 [0, 0, 1, -628089007, 12966075470706] ≥ 12 trivial 66.21 66.21 4.21 73.91
#1 [0, 0, 1, -6349808647, 19314634691103…] ≥ 12 trivial 67.77 67.77 4.47 79.33
#1380 [0, 1, 0, -1557588065548…, 17037557339777…] ≥ 12 ℤ/2ℤ 70.25 122.19 8.89 130.37
#2013 [0, 1, 0, 40464077808839…, 11170507920941…] ≥ 12 ℤ/2ℤ 70.25 126.60 9.24 133.48
#3629 [1, 0, 1, -6166000806909…, 58828582207562…] ≥ 12 ℤ/2ℤ 74.05 128.31 9.58 141.41
#3994 [1, 0, 1, -2548858708107…, 15513998795270…] ≥ 12 ℤ/2ℤ 74.05 126.57 9.23 134.14
#3630 [1, -1, 0, -1068911362674…, 42285817321217…] ≥ 12 ℤ/2ℤ 76.91 138.07 10.34 149.97
#3993 [1, -1, 0, -2583167927740…, 14625458243583…] ≥ 12 ℤ/2ℤ 76.91 135.76 9.99 143.23
#3631 [1, 1, 1, -6893400811406…, 29341048204623…] ≥ 12 ℤ/2ℤ 77.11 154.76 11.60 163.04
#3990 [1, 1, 1, -1201732941499…, 16033036983896…] ≥ 12 ℤ/2ℤ 77.11 155.09 11.95 171.04
#3632 [1, -1, 1, -2336367836762…, 89415343463773…] ≥ 12 ℤ/2ℤ 77.31 144.31 10.73 152.31
#3992 [1, -1, 1, -3362445101854…, 75032628385235…] ≥ 12 ℤ/2ℤ 77.31 144.96 11.07 160.31
#3633 [1, 1, 1, -1621798311910…, 24644776741169…] ≥ 12 ℤ/2ℤ 77.75 147.43 11.07 158.13
#3991 [1, 1, 1, -3546566101391…, -4504877355684…] ≥ 12 ℤ/2ℤ 77.75 152.65 11.42 160.47
#3634 [0, 1, 0, -2254684274508…, 14303330514927…] ≥ 12 ℤ/2ℤ 78.43 167.97 12.68 175.42
#3989 [0, 1, 0, -2650518517969…, 51817925876915…] ≥ 12 ℤ/2ℤ 78.43 162.34 12.33 173.42
#1209 [1, 0, 1, -3848933163561…, 91567955626994…] ≥ 12 ℤ/2ℤ 78.58 120.73 8.91 133.09
#2014 [1, 0, 1, -5794953730320…, -1083260730728…] ≥ 12 ℤ/2ℤ 78.58 126.86 9.26 134.32
#4055 [1, 0, 1, -2100222553304…, 35140343228020…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 99.08 218.23 16.94 227.98
#3704 [0, 1, 0, -1017623839762…, 39275012198212…] ≥ 12 ℤ/4ℤ 106.49 276.10 21.84 287.98
#3844 [0, 1, 0, -1674433172091…, -1763177092982…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 106.49 281.97 22.19 289.47
#1861 [1, 0, 0, -1209873315556…, 33105831183996…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 107.05 294.32 23.23 302.31
#1921 [1, 0, 0, -1086750289534…, 43597316571532…] ≥ 12 ℤ/4ℤ 107.05 286.66 22.88 301.99
#1939 [1, 0, 0, -1757435272012…, 20803849458555…] ≥ 12 ℤ/3ℤ 108.24 246.85 19.28 255.08
#3562 [1, -1, 1, -2037619837783…, 34753468662079…] ≥ 12 ℤ/4ℤ 109.87 272.38 21.49 283.15
#3582 [1, -1, 1, -4370576197248…, -5961121583132…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 109.87 277.65 21.83 285.44
#1194 [1, 0, 0, -1507573912593…, 71948127291473…] ≥ 12 ℤ/3ℤ 111.82 236.33 18.51 247.73
#3705 [1, 0, 0, -7447528317264…, 24734767791049…] ≥ 12 ℤ/4ℤ 113.28 299.00 23.93 314.67
#3988 [1, 0, 0, -8155605971906…, 19748854862733…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 113.28 306.82 24.27 314.94
#3171 [1, 0, 1, -6999312010100…, 76392581201931…] ≥ 12 ℤ/3ℤ 115.55 242.95 18.99 252.45
#1114 [1, 1, 1, -3303894515586…, 73094841061617…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 115.96 305.87 24.75 326.05
#1125 [1, 1, 1, -2044361857832…, 11659777722440…] ≥ 12 ℤ/4ℤ 115.96 307.64 24.40 317.77
#1201 [1, 1, 1, -5286229037311…, 46780738934416…] ≥ 12 ℤ/2ℤ 115.96 294.01 25.10 334.37
#3168 [1, 0, 1, -8108955275569…, 28126393626819…] ≥ 12 ℤ/3ℤ 119.90 259.50 20.55 273.48
#3167 [1, 0, 0, -2886947269588…, 64622389720504…] ≥ 12 ℤ/3ℤ 120.33 261.16 20.50 270.54
#3169 [1, 0, 1, -5101239509115…, 76434974688414…] ≥ 12 ℤ/3ℤ 121.10 249.60 19.48 257.06
#4027 [0, 0, 0, -1214819442312…, 51444320891777…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 124.33 261.60 20.69 274.69
#3166 [1, 0, 1, -2272042537611…, 13180898673869…] ≥ 12 ℤ/3ℤ 125.04 260.15 20.73 276.57
#3172 [0, 0, 0, -2241400793004…, 40774547849544…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 128.90 311.74 24.87 324.88
#4025 [0, 0, 0, -4711662178043…, 12446013181626…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 129.67 311.74 24.97 327.11
#3706 [1, -1, 1, -1743521616453…, 88610196487924…] ≥ 12 ℤ/4ℤ 131.34 326.80 26.37 344.85
#3987 [1, -1, 1, -1793852737626…, 83222938474154…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 131.34 335.82 26.72 344.94
#1802 [1, -1, 1, -1444491707528…, 55992158377962…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 134.38 335.62 26.69 344.29