Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 1 and torsion ℤ/2ℤ × ℤ/8ℤ

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showing 39 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1087 [1, 0, 0, -1574593253082…, 24028219957095…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 27.56 130.42 9.79 144.22
#1777 [1, 0, 0, -2564530435455…, -7740335446643…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 32.52 172.50 13.07 180.23
#1778 [1, 0, 0, -1826209705629…, 94722161538252…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 40.73 194.20 15.05 206.84
#2182 [1, 0, 0, -9778675413513…, 61926185440712…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 47.23 245.54 19.16 253.32
#2181 [1, 0, 0, -5965425481033…, 93603611303427…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 48.19 244.35 19.05 251.84
#2178 [1, 0, 0, -1501011456398…, 22251270940723…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 48.56 228.89 17.91 240.79
#2179 [1, 0, 0, -5903537021945…, 17458837233932…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 48.80 239.18 19.15 258.71
#2186 [1, 0, 0, -7181359868024…, 23423843020411…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 50.92 245.18 20.18 273.12
#2185 [1, 0, 0, -1824794118073…, 30003290659312…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 51.06 245.85 19.93 269.00
#2183 [1, 0, 0, -1621197495376…, 79268859879186…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 51.45 248.90 19.62 261.74
#2184 [1, 0, 0, -9978082456644…, 12118558737989…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 53.89 253.60 20.04 267.19
#2180 [1, 0, 0, -2101596053030…, 17566852216331…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 54.67 261.72 20.51 269.43
#1190 [1, 0, 0, -3308989720626…, 72431786525672…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 18.95 93.76 6.62 105.00
#1779 [1, 0, 0, -3851007361865…, 91983425752602…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 19.53 96.64 7.46 119.27
#1782 [1, 0, 0, -1922871157458…, 27179481612730…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 21.68 122.34 8.92 131.01
#1781 [1, 0, 0, -6849847265043…, 65970121715472…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 24.51 118.00 8.59 127.91
#1780 [1, 0, 0, -2993568889022…, 19819718715375…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 24.53 113.52 8.29 125.43
#2169 [1, 0, 0, -6056264979449…, 17894580569994…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 25.79 123.38 9.08 134.45
#2171 [1, 0, 0, -4033537180748…, 98520954322112…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 27.19 146.97 11.17 160.86
#2166 [1, 0, 0, -4099826649703…, 31951875447065…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 27.43 125.57 10.24 154.00
#2170 [1, 0, 0, -9471566658999…, -6283333859132…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 28.04 142.12 10.53 149.61
#2168 [1, 0, 0, -2318806394512…, 42977866006138…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 28.81 129.90 10.66 159.20
#2167 [1, 0, 0, -9517476786767…, 11301344494107…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 29.40 136.48 10.63 156.53
#1503 [1, 0, 0, -3069679751784…, -6225410045980…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 50.62 274.58 21.64 284.38
#1504 [1, 0, 0, -2722129314297…, 44819794898762…] ≥ 2 ℤ/2ℤ × ℤ/8ℤ 52.41 261.63 20.52 270.20
#1073 [1, 0, 0, -49423080, 130545230400] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 11.32 54.25 3.30 64.76
#1079 [1, 0, 0, -673039570, -5895575919100] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 12.43 63.67 4.03 72.60
#1080 [1, 0, 0, -136184310140, 19343222133507…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 12.49 71.05 5.03 88.53
#2175 [1, 0, 0, -8672772752723…, -9793590510862…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 16.22 102.46 7.39 114.80
#1783 [1, 0, 0, -1169028798832…, -8201500993088…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 17.41 94.09 6.54 101.88
#2176 [1, 0, 0, -7172131263753…, 73828151699585…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 17.74 100.88 7.30 114.23
#1784 [1, 0, 0, -2457320398631…, 46507552748925…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 19.02 92.53 6.53 104.11
#2174 [1, 0, 0, -5156597580016…, 45070545903918…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 19.49 91.61 6.98 113.24
#1786 [1, 0, 0, -1919188126691…, 10233409560632…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 19.56 91.94 6.82 110.28
#1787 [1, 0, 0, -2308659396705…, 31001950145310…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 20.76 103.38 7.30 110.83
#1785 [1, 0, 0, -8295323711649…, 24995165758604…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 21.05 98.96 6.97 107.76
#1499 [1, 0, 0, -6958087482834…, 22339988178175…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 46.76 219.30 17.90 245.39
#1502 [1, 0, 0, -1460213747553…, 67916076717707…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 51.81 253.74 20.48 275.24
#1501 [1, 0, 0, -1032614646304…, 40378076763970…] ≥ 1 ℤ/2ℤ × ℤ/8ℤ 62.73 300.61 24.03 315.65