Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 8 and torsion ℤ/6ℤ

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showing 75 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1216 [1, 0, 0, -8015982223094…, 13402180101870…] ≥ 9 ℤ/6ℤ 69.84 213.84 16.50 221.34
#2032 [1, 0, 0, -2379992149449…, 44542952883353…] ≥ 9 ℤ/6ℤ 69.84 215.88 16.85 228.36
#3834 [1, 0, 0, 42459070568638…, 11988139528456…] ≥ 9 ℤ/6ℤ 85.34 264.90 20.76 271.78
#1910 [1, 0, 0, -1311916257355…, 95272827405060…] ≥ 9 ℤ/6ℤ 89.64 287.87 22.69 295.65
#2092 [1, 0, 0, -1805673781082…, 93354844841698…] ≥ 9 ℤ/6ℤ 89.64 288.91 23.03 303.51
#1913 [1, 0, 1, -6731612366192…, 31829008109595…] ≥ 8 ℤ/6ℤ 56.81 175.41 13.31 183.12
#1995 [1, 0, 1, -5341863310003…, -1480889838723…] ≥ 8 ℤ/6ℤ 56.81 178.34 13.66 189.33
#3843 [1, 0, 0, -1390269098748…, 18994312040136…] ≥ 8 ℤ/6ℤ 58.71 189.29 14.53 199.11
#1095 [1, 0, 0, -2895282112695…, 15514785702925…] ≥ 8 ℤ/6ℤ 62.45 213.47 16.51 222.04
#2107 [1, 0, 0, -1404214413958…, -1884486552632…] ≥ 8 ℤ/6ℤ 62.45 217.31 16.85 226.77
#3045 [1, 0, 1, -2555492437301…, 49636370655370…] ≥ 8 ℤ/6ℤ 62.49 201.64 15.69 214.75
#3059 [1, 0, 1, -2554251103051…, 49687082457794…] ≥ 8 ℤ/6ℤ 62.49 188.53 15.34 214.75
#3034 [1, 0, 0, -2381920949644…, 11560629377711…] ≥ 8 ℤ/6ℤ 64.60 212.89 16.46 221.45
#3035 [1, 0, 0, -7240167045810…, -2207534905593…] ≥ 8 ℤ/6ℤ 64.60 208.41 16.11 217.88
#3023 [0, 1, 0, -2655261324836…, 52644732899743…] ≥ 8 ℤ/6ℤ 65.53 200.16 15.64 214.87
#3060 [0, 1, 0, -1405640768001…, 10828722957768…] ≥ 8 ℤ/6ℤ 65.53 199.21 15.30 207.10
#3026 [1, 0, 0, -1674913379075…, 24129662094279…] ≥ 8 ℤ/6ℤ 65.56 204.22 15.76 213.49
#3055 [1, 0, 0, 12370764835409…, 17950553462262…] ≥ 8 ℤ/6ℤ 65.56 200.74 15.41 208.11
#3020 [1, 0, 0, -6161323001303…, 18560315959572…] ≥ 8 ℤ/6ℤ 65.88 204.80 15.93 217.39
#3049 [1, 0, 0, -5577078330438…, 41845524204552…] ≥ 8 ℤ/6ℤ 65.88 202.73 15.58 210.19
#1911 [1, 0, 0, -4755800510238…, 39911788650682…] ≥ 8 ℤ/6ℤ 68.17 222.01 17.49 237.34
#2108 [1, 0, 0, -7608879975600…, 25546370930384…] ≥ 8 ℤ/6ℤ 68.17 214.99 17.84 245.66
#3015 [1, 0, 1, -1926848462692…, 32556145266192…] ≥ 8 ℤ/6ℤ 69.51 210.58 16.64 227.72
#3056 [1, 0, 1, -1926865128752…, 32555553942033…] ≥ 8 ℤ/6ℤ 69.51 193.44 16.29 227.72
#3013 [1, 0, 0, -9838570603528…, 13019251609807…] ≥ 8 ℤ/6ℤ 69.65 238.85 18.60 246.43
#3012 [1, 0, 0, -3414223412309…, 20485178969193…] ≥ 8 ℤ/6ℤ 69.77 213.83 16.54 222.53
#3016 [1, 0, 0, 29519403482275…, 53453411560980…] ≥ 8 ℤ/6ℤ 70.16 212.06 16.35 219.50
#3037 [1, 0, 0, -5218985811516…, 13910267704854…] ≥ 8 ℤ/6ℤ 70.16 206.93 16.01 216.90
#3005 [1, 0, 0, -2203125880748…, 12586522558549…] ≥ 8 ℤ/6ℤ 70.20 215.57 17.18 235.03
#3008 [0, 1, 0, -8672281684436…, 31083818473732…] ≥ 8 ℤ/6ℤ 71.66 215.12 17.01 232.23
#3004 [1, 0, 1, -2516075952544…, 15361159908065…] ≥ 8 ℤ/6ℤ 72.30 245.59 19.57 263.06
#3007 [0, 1, 0, -4532116791375…, 37138984501326…] ≥ 8 ℤ/6ℤ 72.53 220.86 17.45 237.20
#3028 [0, 1, 0, -4532204544110…, 37137474483828…] ≥ 8 ℤ/6ℤ 72.53 204.53 17.10 237.20
#3001 [1, 0, 0, -7592240274333…, -1910017573417…] ≥ 8 ℤ/6ℤ 72.64 223.55 17.34 231.84
#3000 [1, 0, 0, -2686035692955…, 16932292994410…] ≥ 8 ℤ/6ℤ 72.66 221.59 17.40 235.63
#2998 [1, 0, 0, -5522640347965…, 13947222719120…] ≥ 8 ℤ/6ℤ 73.20 237.23 18.46 244.70
#3002 [0, 1, 0, -5201007320955…, 39757182679319…] ≥ 8 ℤ/6ℤ 73.72 228.73 17.79 237.61
#3010 [1, 0, 0, -2562925709588…, 15792545618555…] ≥ 8 ℤ/6ℤ 74.10 211.92 18.05 249.30
#2983 [1, -1, 1, -8291784718356…, 29044034978917…] ≥ 8 ℤ/6ℤ 74.71 245.56 19.40 259.73
#2995 [1, 0, 0, 27867968552977…, 24074349420514…] ≥ 8 ℤ/6ℤ 75.85 238.14 18.53 245.54
#2994 [0, 0, 0, -9288592134857…, 11073454318107…] ≥ 8 ℤ/6ℤ 76.67 242.29 18.99 253.20
#2992 [1, 0, 0, -1085221970941…, 12172025558862…] ≥ 8 ℤ/6ℤ 77.16 244.65 19.12 253.63
#2989 [1, 0, 0, -2906350833914…, 10908664588741…] ≥ 8 ℤ/6ℤ 77.32 249.95 19.52 257.77
#2991 [1, 0, 0, -7953422367098…, 26722103508706…] ≥ 8 ℤ/6ℤ 77.48 235.16 18.38 245.79
#2997 [1, -1, 0, -1431515389919…, 20811632200422…] ≥ 8 ℤ/6ℤ 77.50 227.50 17.85 240.65
#2986 [0, 1, 0, -6891584106518…, 22018253765014…] ≥ 8 ℤ/6ℤ 77.86 243.21 19.29 259.18
#2979 [0, 1, 0, -2760743900825…, 55832526931886…] ≥ 8 ℤ/6ℤ 77.94 259.86 21.16 284.06
#2988 [1, 0, 1, -1452039980131…, 66938810455794…] ≥ 8 ℤ/6ℤ 78.37 235.72 18.48 247.60
#2957 [1, -1, 0, -7255902327452…, 25018771659516…] ≥ 8 ℤ/6ℤ 78.73 263.45 20.71 273.25
#2985 [1, 0, 1, -1933192679247…, 21550519172191…] ≥ 8 ℤ/6ℤ 78.86 242.21 18.87 249.92
#2982 [1, 0, 0, 14674207664524…, 17125281186664…] ≥ 8 ℤ/6ℤ 80.04 251.23 19.62 258.67
#2973 [0, 1, 0, -6691872575553…, 24176543148937…] ≥ 8 ℤ/6ℤ 80.10 270.32 21.21 277.78
#2970 [1, -1, 1, -1610404326380…, 24872405319381…] ≥ 8 ℤ/6ℤ 80.96 252.37 20.07 268.63
#2977 [1, 0, 1, -1317612112230…, 61150190366346…] ≥ 8 ℤ/6ℤ 81.38 251.40 19.71 261.22
#2975 [0, 1, 0, -5167603090179…, 14271822390402…] ≥ 8 ℤ/6ℤ 82.49 245.25 19.32 258.31
#2967 [1, 0, 0, -1946516117288…, 31673874725369…] ≥ 8 ℤ/6ℤ 83.17 259.24 20.36 269.20
#2965 [1, 0, 0, -2308939212416…, 20456020115380…] ≥ 8 ℤ/6ℤ 83.60 269.42 21.15 277.45
#2972 [1, 0, 0, -5180906593538…, 35214443562369…] ≥ 8 ℤ/6ℤ 83.62 252.48 19.73 260.11
#2959 [1, -1, 1, -1508331439199…, 11111496837526…] ≥ 8 ℤ/6ℤ 83.80 282.06 22.20 290.04
#2980 [1, -1, 1, -9429983738201…, 11145778551240…] ≥ 8 ℤ/6ℤ 83.96 248.70 19.88 267.02
#2962 [1, 0, 1, -8980046105223…, 32718004194234…] ≥ 8 ℤ/6ℤ 84.23 260.21 20.59 273.79
#2968 [1, 0, 0, 88416617023198…, 16461748163381…] ≥ 8 ℤ/6ℤ 85.68 260.67 20.41 267.80
#2955 [1, 0, 0, -3441744078962…, 24576247824856…] ≥ 8 ℤ/6ℤ 85.80 270.96 21.87 291.63
#2953 [1, 0, 0, -1398509003150…, -4805364953478…] ≥ 8 ℤ/6ℤ 86.18 267.66 20.99 275.11
#2952 [1, 0, 0, -2191812816396…, 40434428546253…] ≥ 8 ℤ/6ℤ 86.33 272.88 21.52 283.42
#2956 [1, 0, 0, -9158576861618…, 25306120110191…] ≥ 8 ℤ/6ℤ 87.15 273.24 21.46 280.75
#2964 [1, -1, 0, -4139599608989…, 10241718313205…] ≥ 8 ℤ/6ℤ 87.25 257.74 20.39 271.46
#2948 [1, 0, 0, -1491208407489…, 69907114367708…] ≥ 8 ℤ/6ℤ 88.16 276.41 21.90 289.12
#2946 [1, 0, 0, -3425172644065…, 14954616580816…] ≥ 8 ℤ/6ℤ 88.29 292.08 23.03 299.85
#2945 [1, 0, 0, 48041939441587…, 11715225724504…] ≥ 8 ℤ/6ℤ 89.84 273.60 21.48 280.94
#2942 [1, 0, 0, -1037475967142…, 13718942305952…] ≥ 8 ℤ/6ℤ 90.12 285.50 22.54 295.07
#2941 [1, 0, 1, -4499256828809…, 11616047666160…] ≥ 8 ℤ/6ℤ 90.32 279.50 22.53 299.34
#2943 [0, 1, 0, 13749337294005…, 81197013575416…] ≥ 8 ℤ/6ℤ 91.31 277.41 21.80 284.81
#2949 [1, 0, 0, -2458494060302…, 64836302371010…] ≥ 8 ℤ/6ℤ 91.48 276.17 21.72 284.36
#2950 [1, 0, 1, -2803753156114…, 18069984362617…] ≥ 8 ℤ/6ℤ 94.61 275.21 22.79 304.83