Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 7

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showing 31 of 413 curves Download the database (JSON) ↓
curve a-invariants rank log N naive height Faltings height log |Δ|
#44 [0, 0, 0, -10012, 346900] ≥ 7 26.67 39.25 1.24 30.14
#120 [1, 0, 1, -14733, 694232] ≥ 7 27.01 40.43 1.24 29.09
#121 [0, 0, 1, -36673, 2704878] ≥ 7 27.43 43.14 1.35 29.04
#122 [1, -1, 0, -92656, 10865908] ≥ 7 27.48 45.92 1.61 32.43
#123 [1, -1, 0, -18664, 958204] ≥ 7 27.52 41.12 1.34 30.78
#125 [1, 0, 1, -5983, 164022] ≥ 7 27.64 37.70 1.10 28.33
#126 [1, 0, 1, -14505, 667472] ≥ 7 27.70 40.36 1.20 28.39
#57 [0, 0, 1, -1387, 68046] ≥ 7 28.24 35.78 1.04 28.24
#124 [0, 0, 1, -5707, 151416] ≥ 7 28.32 37.56 1.10 28.32
#127 [0, 0, 1, -15577, 744876] ≥ 7 28.42 40.57 1.21 28.42
#128 [1, -1, 0, -22221159, 40791791609] ≥ 7 30.20 62.39 3.07 51.15
#362 [1, -1, 1, -4886412, 4017333135] ≥ 7 31.32 57.82 2.74 47.66
#373 [1, 0, 0, -22215005, 40008831921] ≥ 7 31.40 62.36 3.05 50.66
#350 [0, 1, 0, -13546745, 19183095339] ≥ 7 32.09 60.88 2.79 45.51
#266 [0, 0, 0, -42484, 47524] ≥ 7 32.66 43.58 1.70 36.13
#352 [1, -1, 0, -281475, 65390161] ≥ 7 32.77 49.51 2.11 40.57
#283 [1, 1, 0, -1027782, 318095064] ≥ 7 32.91 53.14 2.44 44.69
#254 [0, 0, 0, 72351, 71289] ≥ 7 34.14 45.18 1.83 37.73
#255 [0, 0, 0, 97151, 91204] ≥ 7 34.48 46.07 1.91 38.61
#253 [0, 0, 0, 43319, 61009] ≥ 7 34.80 43.64 1.71 36.19
#256 [0, 0, 0, 47522, 1] ≥ 7 35.77 43.92 1.73 36.47
#265 [0, 0, 0, 54722, 519841] ≥ 7 36.21 44.34 1.76 36.90
#257 [0, 0, 0, 159359, 101761] ≥ 7 36.76 47.55 2.03 40.10
#246 [0, 0, 0, -75661452, 253314869625] ≥ 7 36.89 66.04 3.08 45.72
#247 [0, 1, 0, -482829160, 4083394233624] ≥ 7 38.52 71.60 3.50 49.30
#248 [0, -1, 0, -4719619360, 12479984594873…] ≥ 7 40.23 78.44 3.91 48.17
#250 [0, -1, 0, -1926296120, 32541777273856] ≥ 7 41.89 75.75 3.80 51.44
#249 [0, 1, 0, -7547876161, 25239510901286…] ≥ 7 45.30 79.85 4.10 53.45
#26 [0, -1, 0, -1485019900716, 65825200707202…] ≥ 7 55.54 95.69 5.92 86.00
#27 [0, -1, 0, -3225667994796, 22059166727085…] ≥ 7 56.26 98.02 6.04 86.72
#28 [0, -1, 0, -3289744045996, 22729513134882…] ≥ 7 56.28 98.08 6.04 86.74