Elliptic Curve Rank Leaderboard

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Curves (99)

curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#326 [0, -1, 0, -399667220820, 32642129216035…] ≥ 11 trivial 68.29 84.18 5.71 91.76
#370 [1, -1, 0, -49868394, 160512600824] ≥ 10 trivial 53.53 56.42 3.42 65.13
#359 [0, -1, 0, -306746316, 2202727337316] ≥ 10 trivial 52.21 60.78 3.81 70.36
#371 [0, 0, 0, -851586267, 7403133843290] ≥ 10 trivial 52.72 64.93 4.12 73.30
#553 [1, 1, 0, -1798458358, 29149735456048] ≥ 10 trivial 57.58 63.82 4.15 75.54
#315 [0, 1, 0, -8110664060, 28728277448606…] ≥ 10 trivial 56.06 69.49 4.57 80.11
#564 [1, 1, 0, -9202148400, 34482288940200…] ≥ 10 trivial 54.25 69.48 4.59 80.47
#472 [1, 1, 1, -8613625056, 34496645078835…] ≥ 10 trivial 56.33 71.43 4.68 80.47
#301 [0, 1, 0, -11454891505, 53595111623457…] ≥ 10 trivial 68.94 72.41 4.76 81.35
#595 [0, 0, 1, -22193305147, 12869882002645…] ≥ 10 trivial 56.63 71.85 4.80 83.11
#562 [0, 0, 0, -25908117228, 15947814022800…] ≥ 10 trivial 57.10 71.74 4.81 83.55
#555 [1, -1, 1, -50167445243, 39424916889835…] ≥ 10 trivial 57.51 76.30 5.10 85.53
#349 [1, 0, 0, -60329721215, 59410902286031…] ≥ 10 trivial 57.25 76.16 5.11 86.16
#572 [1, -1, 1, -68837738612, 64365579431205…] ≥ 10 trivial 55.82 77.08 5.17 86.48
#474 [0, 1, 0, -323494567865, 68724510883515…] ≥ 10 trivial 56.34 80.82 5.51 91.12
#470 [1, 1, 1, -315277608363, 72862525021888…] ≥ 10 trivial 57.32 81.65 5.55 91.18
#460 [1, -1, 1, -1255871985167, 53288797353969…] ≥ 10 trivial 57.38 84.30 5.82 95.19
#366 [1, -1, 1, -19968242, 24608110065] ≥ 9 trivial 45.43 53.87 3.20 62.04
#353 [1, 1, 0, -50591622, 140974764984] ≥ 9 trivial 47.44 54.06 3.30 64.87
#547 [0, 0, 0, -52953057, 145874677545] ≥ 9 trivial 46.36 54.09 3.30 64.97
#358 [1, 1, 0, -71192370, 226048177800] ≥ 9 trivial 49.31 55.27 3.39 65.86
#501 [0, 1, 0, -113180608, 437534000388] ≥ 9 trivial 46.22 57.57 3.55 67.25
#479 [1, -1, 1, -197123177, 1056496302505] ≥ 9 trivial 45.33 57.35 3.60 68.91
#360 [1, 0, 0, -238158975, 1544082864921] ≥ 9 trivial 47.95 60.37 3.77 69.65
#565 [0, 0, 0, -374961132, 2743046554356] ≥ 9 trivial 44.17 60.08 3.80 70.84
#569 [1, 0, 1, -429654351, 3202490757598] ≥ 9 trivial 48.01 61.73 3.89 71.25
#300 [1, 0, 0, -550746640, 4883372708096] ≥ 9 trivial 45.91 61.23 3.89 71.99
#640 [0, 0, 0, -620529987, 5709245168770] ≥ 9 trivial 46.88 62.36 3.96 72.35
#494 [1, -1, 1, -539761739, 7376782316379] ≥ 9 trivial 50.30 64.77 4.10 72.78
#392 [1, 1, 1, -936464551, 11031352038749] ≥ 9 trivial 46.20 57.92 3.84 73.59
#529 [0, 1, 0, -1465825433, 25826562932263] ≥ 9 trivial 48.34 66.63 4.27 75.29
#473 [1, -1, 1, -2444705780, 53729427292247] ≥ 9 trivial 48.05 67.91 4.38 76.75
#573 [1, 0, 0, -3749297445, 77479439249025] ≥ 9 trivial 46.67 68.83 4.46 77.75
#284 [0, 0, 0, -5565379300, 17073013504810…] ≥ 9 trivial 49.14 69.52 4.54 79.07
#500 [1, 0, 0, -11796582015, 57625346472322…] ≥ 9 trivial 48.78 72.73 4.78 81.50
#497 [1, 1, 1, -13901959588, 61375239232618…] ≥ 9 trivial 47.72 71.30 4.72 81.68
#560 [1, -1, 0, -18301838892, 96818753383751…] ≥ 9 trivial 48.87 71.61 4.76 82.54
#563 [0, 0, 0, -22560191100, 13034843109000…] ≥ 9 trivial 47.41 68.94 4.68 83.13
#372 [1, -1, 0, -475339, 77898769] ≥ 8 trivial 39.80 42.90 2.28 50.83
#493 [1, -1, 0, -263551, 239613121] ≥ 8 trivial 39.40 44.61 2.40 52.11
#357 [1, -1, 0, -1285029, 500060929] ≥ 8 trivial 38.59 44.78 2.46 53.81
#269 [0, 0, 0, -2308801, 2365444] ≥ 8 trivial 47.42 48.12 2.70 55.57
#369 [0, -1, 0, -2360940, 1452162276] ≥ 8 trivial 39.15 45.66 2.57 55.71
#461 [0, 0, 0, -5371828, 4980588448] ≥ 8 trivial 39.96 48.13 2.77 58.18
#495 [1, -1, 1, -4621932, 5354780655] ≥ 8 trivial 39.97 50.16 2.88 58.33
#263 [0, 0, 0, -6243121, 181090849] ≥ 8 trivial 47.77 51.10 2.95 58.55
#264 [0, 0, 0, -7179721, 11215801] ≥ 8 trivial 48.19 51.52 2.98 58.97
#551 [0, -1, 0, -9219233, 12758883237] ≥ 8 trivial 41.18 51.36 3.00 60.06
#368 [1, -1, 1, -10380258, 13686541281] ≥ 8 trivial 40.17 50.59 2.96 60.20
#365 [1, 1, 1, -14063345, 20355846671] ≥ 8 trivial 38.34 48.45 2.90 61.00
#469 [0, 1, 0, -14856176, 21132808740] ≥ 8 trivial 37.72 51.18 3.03 61.16
#496 [0, 1, 0, -10411132, 35308102064] ≥ 8 trivial 40.41 54.50 3.23 62.10
#348 [1, 0, 1, -25465228, 50335019942] ≥ 8 trivial 37.86 51.99 3.12 62.81
#492 [1, -1, 1, -37863705, 78707115897] ≥ 8 trivial 40.17 55.04 3.31 63.96
#559 [0, 0, 0, -47601468, 129141736992] ≥ 8 trivial 41.26 54.06 3.29 64.69
#367 [1, -1, 1, -52835555, 169776941347] ≥ 8 trivial 40.55 56.36 3.42 65.24
#557 [1, -1, 1, -68838998, 241276942181] ≥ 8 trivial 40.73 56.71 3.46 65.94
#597 [0, 0, 1, -110520787, 448335516090] ≥ 8 trivial 41.49 54.43 3.41 67.18
#641 [0, 0, 0, -159082068, 802247943908] ≥ 8 trivial 40.87 58.28 3.62 68.34
#480 [1, 0, 0, -257481715, 1584902692961] ≥ 8 trivial 37.95 57.25 3.63 69.71
#502 [1, 0, 0, -316681338, 2589479672292] ≥ 8 trivial 39.76 62.02 3.89 70.69
#554 [0, 1, 0, -430685105, 3395677107603] ≥ 8 trivial 40.42 60.14 3.81 71.26
#361 [1, 1, 1, -435052160, 3407298580001] ≥ 8 trivial 38.98 60.80 3.85 71.29
#354 [1, -1, 1, -1339654280, 18843018310347] ≥ 8 trivial 39.34 61.46 4.01 74.66
#550 [1, 0, 0, -2957089613, 62531771459217] ≥ 8 trivial 41.06 65.71 4.29 77.06
#570 [1, -1, 1, -4127631017, 10172352544804…] ≥ 8 trivial 40.71 65.59 4.32 78.04
#266 [0, 0, 0, -42484, 47524] ≥ 7 trivial 32.66 36.13 1.70 43.58
#253 [0, 0, 0, 43319, 61009] ≥ 7 trivial 34.80 36.19 1.71 43.64
#256 [0, 0, 0, 47522, 1] ≥ 7 trivial 35.77 36.47 1.73 43.92
#265 [0, 0, 0, 54722, 519841] ≥ 7 trivial 36.21 36.90 1.76 44.34
#254 [0, 0, 0, 72351, 71289] ≥ 7 trivial 34.14 37.73 1.83 45.18
#255 [0, 0, 0, 97151, 91204] ≥ 7 trivial 34.48 38.61 1.91 46.07
#257 [0, 0, 0, 159359, 101761] ≥ 7 trivial 36.76 40.10 2.03 47.55
#352 [1, -1, 0, -281475, 65390161] ≥ 7 trivial 32.77 40.57 2.11 49.51
#571 [0, -1, 1, -372290, 88905518] ≥ 7 trivial 31.63 39.17 2.06 50.13
#549 [1, 0, 1, -1022026, 371573048] ≥ 7 trivial 30.90 43.60 2.38 53.13
#283 [1, 1, 0, -1027782, 318095064] ≥ 7 trivial 32.91 44.69 2.44 53.14
#558 [0, -1, 0, -3114065, 2150586837] ≥ 7 trivial 31.37 45.60 2.59 56.50
#362 [1, -1, 1, -4886412, 4017333135] ≥ 7 trivial 31.32 47.66 2.74 57.82
#594 [0, 1, 0, -6701660, 6764724400] ≥ 7 trivial 32.29 47.70 2.78 58.79
#530 [0, -1, 0, -8018800, 8753953552] ≥ 7 trivial 30.98 45.89 2.73 59.31
#596 [1, -1, 0, -8638954, 9794013928] ≥ 7 trivial 32.26 46.50 2.76 59.53
#561 [0, 1, 0, -10967350, 13246628873] ≥ 7 trivial 32.79 50.50 2.96 60.24
#350 [0, 1, 0, -13546745, 19183095339] ≥ 7 trivial 32.09 45.51 2.79 60.88
#373 [1, 0, 0, -22215005, 40008831921] ≥ 7 trivial 31.40 50.66 3.05 62.36
#246 [0, 0, 0, -75661452, 253314869625] ≥ 7 trivial 36.89 45.72 3.08 66.04
#247 [0, 1, 0, -482829160, 4083394233624] ≥ 7 trivial 38.52 49.30 3.50 71.60
#250 [0, -1, 0, -1926296120, 32541777273856] ≥ 7 trivial 41.89 51.44 3.80 75.75
#248 [0, -1, 0, -4719619360, 12479984594873…] ≥ 7 trivial 40.23 48.17 3.91 78.44
#249 [0, 1, 0, -7547876161, 25239510901286…] ≥ 7 trivial 45.30 53.45 4.10 79.85
#267 [0, 0, 0, -2452, 2500] ≥ 6 trivial 24.10 27.57 0.99 35.03
#584 [0, 1, 1, -39504, 1614116] ≥ 6 trivial 24.58 35.57 1.66 43.37
#252 [0, 1, 0, -2093345, 1165078600] ≥ 6 trivial 27.86 37.29 2.24 55.28
#268 [0, 0, 1, -139, 72] ≥ 5 trivial 18.95 18.95 0.27 26.42
#251 [0, 0, 0, -292, 1105] ≥ 5 trivial 19.40 20.79 0.43 28.64
#271 [0, 1, 1, -2, 42] ≥ 4 trivial 13.59 13.59 -0.19 21.05
#3433 [1, 0, 1, -35, 90] ≥ 4 trivial 13.23 13.92 -0.12 22.59
#270 [0, 1, 0, 18, 121] ≥ 4 trivial 14.23 15.62 -0.02 23.01
#586 [1, -1, 1, -762, 8505] ≥ 4 trivial 13.56 21.18 0.54 31.57