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Cube-sum curves with rank lower bound ≥ 4

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showing 32 of 5563 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#4748 [0, 0, 1, 0, -1192930094217…] ≥ 11 trivial 118.99 241.28 18.79 248.74
#4747 [0, 0, 0, 0, -1267036273131…] ≥ 10 trivial 82.21 167.72 12.66 175.18
#4746 [0, 0, 0, 0, -8223611301071…] ≥ 9 trivial 69.17 143.83 10.66 151.29
#5419 [0, 0, 1, 0, -2357095061516…] ≥ 9 trivial 78.23 159.75 11.99 167.21
#5420 [0, 0, 0, 0, -7403298443828…] ≥ 9 trivial 88.37 171.25 12.95 178.71
#4744 [0, 0, 0, 0, -5062143495128…] ≥ 8 trivial 59.45 119.84 8.67 127.29
#4745 [0, 0, 0, 0, -1912386760393…] ≥ 8 trivial 59.60 122.49 8.89 129.95
#4710 [0, 0, 1, 0, -8840484855150…] ≥ 7 trivial 45.01 93.32 6.46 100.77
#4742 [0, 0, 1, 0, -5587779175777] ≥ 6 trivial 35.13 64.77 4.08 72.23
#4743 [0, 0, 1, 0, -6619047419173…] ≥ 6 trivial 35.51 74.32 4.87 81.78
#4970 [0, 0, 0, 0, -7619706212673…] ≥ 6 trivial 102.43 208.15 16.02 215.61
#5106 [0, 0, 0, 0, -5323723938651…] ≥ 6 trivial 108.98 221.25 17.12 228.71
#4739 [0, 0, 0, 0, -5390481963] ≥ 5 trivial 28.19 50.88 2.92 58.34
#4741 [0, 0, 1, 0, -1617296497567] ≥ 5 trivial 29.50 62.29 3.87 69.75
#5109 [0, 0, 1, 0, -1871363967019] ≥ 5 trivial 29.64 62.58 3.89 70.04
#5111 [0, 0, 0, 0, -2403142067185…] ≥ 5 trivial 29.71 67.69 4.32 75.14
#5110 [0, 0, 0, 0, -1703506615470…] ≥ 5 trivial 30.47 67.00 4.26 74.46
#5108 [0, 0, 0, 0, -5506571052675] ≥ 5 trivial 30.72 64.74 4.07 72.20
#4740 [0, 0, 0, 0, -8130418443] ≥ 4 trivial 23.11 51.71 2.99 59.16
#4738 [0, 0, 1, 0, -3175871497] ≥ 4 trivial 23.27 49.83 2.83 57.28
#5327 [0, 0, 1, 0, -2811375469] ≥ 4 trivial 24.32 49.58 2.81 57.04
#5313 [0, 0, 0, 0, -115506075] ≥ 4 trivial 24.35 43.20 2.28 50.65
#5318 [0, 0, 1, 0, -123745519] ≥ 4 trivial 24.41 43.34 2.29 50.79
#5319 [0, 0, 0, 0, -135273675] ≥ 4 trivial 24.50 43.51 2.31 50.97
#5325 [0, 0, 0, 0, -571485612] ≥ 4 trivial 24.56 46.40 2.55 53.85
#5320 [0, 0, 1, 0, -155628019] ≥ 4 trivial 24.64 43.79 2.33 51.25
#5321 [0, 0, 0, 0, -172596675] ≥ 4 trivial 24.75 44.00 2.35 51.46
#5322 [0, 0, 0, 0, -417083043] ≥ 4 trivial 25.63 45.77 2.49 53.22
#5323 [0, 0, 0, 0, -500236707] ≥ 4 trivial 25.81 46.13 2.52 53.58
#5324 [0, 0, 1, 0, -520070167] ≥ 4 trivial 25.85 46.21 2.53 53.66
#5326 [0, 0, 1, 0, -576257221] ≥ 4 trivial 25.95 46.41 2.55 53.87
#5112 [0, 0, 0, 0, -1367238210612…] ≥ 4 trivial 31.63 66.56 4.23 74.02