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Mordell curves with rank lower bound ≥ 12

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showing 40 of 5563 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#62 [0, 0, 0, 0, -9088007366299…] ≥ 17 trivial 155.36 157.85 11.83 165.30
#308 [0, 0, 0, 0, 24537619889008…] ≥ 17 trivial 155.36 164.44 12.38 171.89
#5545 [0, 0, 1, 0, -4548387139104…] ≥ 17 trivial 156.02 184.09 14.02 191.55
#5546 [0, 0, 1, 0, 16845878292979…] ≥ 17 trivial 156.02 177.50 13.47 184.96
#5551 [0, 0, 1, 0, 47295953934055…] ≥ 17 trivial 156.07 165.75 12.49 173.21
#5552 [0, 0, 1, 0, -1276990756219…] ≥ 17 trivial 156.07 172.34 13.04 179.80
#5446 [0, 0, 0, 0, 23799778972095…] ≥ 17 trivial 157.09 173.59 13.14 181.04
#5448 [0, 0, 0, 0, -6425940322465…] ≥ 17 trivial 157.09 180.18 13.69 187.64
#5353 [0, 0, 1, 0, -3721250327597…] ≥ 17 trivial 162.09 169.88 12.84 177.33
#5355 [0, 0, 1, 0, 10047375884514…] ≥ 17 trivial 162.09 176.47 13.38 183.92
#5352 [0, 0, 1, 0, 38164268996399…] ≥ 17 trivial 168.83 169.93 12.84 177.38
#5354 [0, 0, 1, 0, -1030435262902…] ≥ 17 trivial 168.83 176.52 13.39 183.97
#46 [0, 0, 1, 0, -4894683839134…] ≥ 16 trivial 136.20 142.79 10.58 150.25
#64 [0, 0, 1, 0, 18128458663461…] ≥ 16 trivial 136.20 136.20 10.03 143.66
#68 [0, 0, 0, 0, 46974552981863…] ≥ 15 trivial 122.91 124.29 9.04 131.75
#305 [0, 0, 0, 0, -1268312930510…] ≥ 15 trivial 122.91 130.88 9.59 138.34
#5410 [0, 0, 1, 0, 33372439031705…] ≥ 15 trivial 158.78 169.66 12.82 177.11
#5411 [0, 0, 1, 0, -9010558538560…] ≥ 15 trivial 158.78 176.25 13.37 183.71
#4756 [0, 0, 1, 0, 12280460053296…] ≥ 14 trivial 103.19 103.19 7.28 110.64
#4757 [0, 0, 1, 0, -3315724214390…] ≥ 14 trivial 103.19 109.78 7.83 117.23
#4886 [0, 0, 1, 0, -1197774028283…] ≥ 14 trivial 142.92 153.79 11.50 161.25
#4959 [0, 0, 1, 0, 32339898763664…] ≥ 14 trivial 142.92 160.39 12.04 167.84
#639 [0, 0, 1, 0, 90519072625313…] ≥ 14 trivial 148.06 157.84 11.83 165.29
#4957 [0, 0, 1, 0, -2444014960883…] ≥ 14 trivial 148.06 164.43 12.38 171.89
#61 [0, 0, 1, 0, 75255852424198…] ≥ 13 trivial 87.29 88.39 6.04 95.85
#4952 [0, 0, 1, 0, -2031908015453…] ≥ 13 trivial 87.29 94.98 6.59 102.44
#5141 [0, 0, 0, 0, 19779840574906…] ≥ 13 trivial 91.06 94.93 6.59 102.39
#5162 [0, 0, 0, 0, -5340556955224…] ≥ 13 trivial 91.06 101.52 7.14 108.98
#4755 [0, 0, 0, 0, -1239793764346…] ≥ 13 trivial 91.22 94.00 6.51 101.45
#4921 [0, 0, 0, 0, 33474431637362…] ≥ 13 trivial 91.22 100.59 7.06 108.04
#5502 [0, 0, 0, 0, -3478138365920…] ≥ 13 trivial 120.04 142.11 10.52 149.57
#5503 [0, 0, 0, 0, 12881993947854…] ≥ 13 trivial 120.04 135.52 9.97 142.97
#4753 [0, 0, 0, 0, 41025014649039…] ≥ 12 trivial 80.09 82.57 5.56 90.03
#4923 [0, 0, 0, 0, -1107675395524…] ≥ 12 trivial 80.09 89.17 6.11 96.62
#4701 [0, 0, 1, 0, -1020920553852…] ≥ 12 trivial 83.30 84.40 5.71 91.85
#4702 [0, 0, 1, 0, 27564854954029…] ≥ 12 trivial 83.30 90.99 6.26 98.44
#4754 [0, 0, 0, 0, -2272988568342…] ≥ 12 trivial 84.61 86.00 5.85 93.45
#4924 [0, 0, 0, 0, 61370691345258…] ≥ 12 trivial 84.61 92.59 6.39 100.04
#4677 [0, 0, 0, 0, 25099601227316…] ≥ 12 trivial 88.32 90.80 6.25 98.26
#4953 [0, 0, 0, 0, -6776892331375…] ≥ 12 trivial 88.32 97.39 6.80 104.85