Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 5 and torsion ℤ/5ℤ

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showing 45 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1215 [1, 0, 0, -1271376476514…, 24813171776401…] ≥ 9 ℤ/5ℤ 76.48 238.14 18.52 245.60
#1916 [0, -1, 1, 15906368950552…, 12016400191374…] ≥ 8 ℤ/5ℤ 59.51 181.47 13.80 188.89
#1917 [0, 1, 1, -4340490396858…, 11058308976529…] ≥ 8 ℤ/5ℤ 59.69 176.59 13.56 188.72
#1122 [1, 1, 1, -2572045081654…, 17486735310079…] ≥ 8 ℤ/5ℤ 61.32 185.05 14.16 194.24
#1915 [1, 0, 0, -1346404541224…, 19318553476047…] ≥ 8 ℤ/5ℤ 63.44 188.12 14.47 199.05
#3044 [1, 0, 0, -2035100211022…, 11192785968732…] ≥ 8 ℤ/5ℤ 67.70 207.80 16.21 220.98
#3042 [0, 1, 1, -1805632198953…, 93716432305994…] ≥ 8 ℤ/5ℤ 69.16 208.21 16.21 220.63
#3033 [0, 1, 1, -5728025996240…, 52779938007881…] ≥ 8 ℤ/5ℤ 71.58 222.89 17.55 237.90
#3031 [1, 0, 0, -2658580114929…, 59129117530968…] ≥ 8 ℤ/5ℤ 72.52 219.87 17.05 228.92
#3021 [1, 0, 0, -2442256350737…, 47380375332133…] ≥ 8 ℤ/5ℤ 79.75 245.40 19.24 256.10
#1124 [1, 0, 0, -4401046837403…, 11324706812339…] ≥ 7 ℤ/5ℤ 49.93 149.50 11.28 161.14
#1123 [0, 1, 1, 21684687816792…, 53632363333048…] ≥ 7 ℤ/5ℤ 50.72 156.79 11.74 164.25
#2935 [1, 0, 0, -1042470692062…, 13077998295796…] ≥ 7 ℤ/5ℤ 52.74 159.20 12.08 170.64
#3707 [1, 0, 0, -7113973724879…, 73035039998477…] ≥ 7 ℤ/5ℤ 53.53 166.24 12.94 183.29
#2931 [1, 0, 0, -1017843352326…, 58399713271671…] ≥ 7 ℤ/5ℤ 55.88 170.17 12.88 178.23
#2927 [1, 0, 0, -1508961239341…, 84440312438645…] ≥ 7 ℤ/5ℤ 59.47 184.08 14.06 192.79
#2924 [1, 0, 0, -2790211362612…, 17933870385967…] ≥ 7 ℤ/5ℤ 59.49 179.42 13.92 194.29
#2921 [1, 0, 0, 50627101565668…, 31560876466833…] ≥ 7 ℤ/5ℤ 59.85 181.77 13.84 189.17
#2912 [1, 0, 0, -5978722118932…, 69226535066199…] ≥ 7 ℤ/5ℤ 60.22 188.46 14.42 196.99
#1688 [1, 0, 0, -3278161153320…, 20821534996006…] ≥ 6 ℤ/5ℤ 36.47 113.33 8.13 120.91
#1691 [0, 1, 1, -4681323863817…, 12366187602341…] ≥ 6 ℤ/5ℤ 37.73 107.32 7.80 119.87
#1698 [0, 1, 1, -1032906744487…, 12777744690738…] ≥ 6 ℤ/5ℤ 38.45 125.88 9.58 142.96
#1702 [1, 1, 1, -6463754804116…, 63254442519792…] ≥ 6 ℤ/5ℤ 38.75 124.56 9.46 141.55
#1705 [1, 0, 0, -7352306066465…, 79344908534204…] ≥ 6 ℤ/5ℤ 39.21 131.81 9.75 142.01
#1709 [1, 1, 1, -8342262655208…, 29336911752170…] ≥ 6 ℤ/5ℤ 41.26 134.43 10.17 149.23
#1715 [1, 1, 1, -9041002229749…, 11136376154192…] ≥ 6 ℤ/5ℤ 41.41 133.08 9.84 142.68
#1719 [1, 1, 1, -1833914995202…, 30228255651982…] ≥ 6 ℤ/5ℤ 41.45 126.28 9.68 144.68
#1723 [1, 1, 1, -5209337239166…, 14929970264894…] ≥ 6 ℤ/5ℤ 41.67 123.80 9.09 134.06
#1728 [1, 0, 0, -4651697237275…, 12542475830846…] ≥ 6 ℤ/5ℤ 41.69 137.12 10.20 147.53
#1097 [0, 1, 1, -1712371016075…, 88578795753569…] ≥ 6 ℤ/5ℤ 42.01 127.21 9.38 137.62
#1686 [0, 1, 1, -3327469167566…, 73881263922133…] ≥ 5 ℤ/5ℤ 29.02 88.00 6.42 105.02
#1657 [0, 1, 1, 755369674600, 11084370528179…] ≥ 5 ℤ/5ℤ 30.05 89.22 6.12 96.62
#1696 [1, 0, 0, -6846866529085…, 68958205059594…] ≥ 5 ℤ/5ℤ 30.80 91.26 7.02 114.09
#1660 [0, 1, 1, -3640477661483…, 61515189014782…] ≥ 5 ℤ/5ℤ 31.20 97.08 6.80 105.29
#1662 [1, 0, 0, -8232229763615, 11525150347009…] ≥ 5 ℤ/5ℤ 31.53 92.88 6.45 101.31
#1663 [1, 1, 1, -1216697816095…, 52160863313454…] ≥ 5 ℤ/5ℤ 31.61 97.53 6.94 108.93
#1713 [0, 1, 1, -4814036578756…, 12858968512756…] ≥ 5 ℤ/5ℤ 31.80 104.74 7.72 119.94
#1717 [1, 1, 1, -5191027236542…, 45522706310750…] ≥ 5 ℤ/5ℤ 32.12 97.18 7.97 127.08
#1721 [0, 1, 1, -1335496632696…, 19774770656022…] ≥ 5 ℤ/5ℤ 32.13 120.23 8.77 130.02
#1664 [1, 0, 0, -3798978567911…, 24112271720163…] ≥ 5 ℤ/5ℤ 32.15 117.43 8.51 126.14
#1656 [0, 1, 1, -1634513831906…, 80437273409308…] ≥ 5 ℤ/5ℤ 32.35 93.32 6.83 109.80
#1665 [1, 0, 0, -3206763812089…, 73392260033241…] ≥ 5 ℤ/5ℤ 34.51 108.99 7.84 118.82
#1655 [1, 0, 0, -7881631206568…, 26946113704729…] ≥ 5 ℤ/5ℤ 34.64 107.09 7.87 121.42
#1658 [1, 0, 0, -7262742615729…, 23822867879285…] ≥ 5 ℤ/5ℤ 35.27 103.05 7.73 121.18
#1659 [1, 1, 1, -5786477193920…, 53576205605333…] ≥ 5 ℤ/5ℤ 35.32 108.57 8.23 127.40