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Cube-sum curves

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showing 69 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
#4736 [0, 0, 1, 0, -3997] ≥ 3 trivial 14.07 22.65 0.57 30.11
#5170 [0, 0, 0, 0, -7022700] ≥ 3 trivial 15.76 37.60 1.81 45.05
#5178 [0, 0, 0, 0, -24162732] ≥ 3 trivial 15.90 40.07 2.02 47.52
#5179 [0, 0, 1, 0, -10835701] ≥ 3 trivial 16.49 38.47 1.88 45.92
#5172 [0, 0, 0, 0, -11940075] ≥ 3 trivial 16.58 38.66 1.90 46.11
#5180 [0, 0, 1, 0, -12102217] ≥ 3 trivial 16.60 38.69 1.90 46.14
#5166 [0, 0, 0, 0, -4922883] ≥ 3 trivial 16.80 36.89 1.75 44.34
#5177 [0, 0, 0, 0, -21821427] ≥ 3 trivial 17.19 39.87 2.00 47.32
#5171 [0, 0, 0, 0, -8497467] ≥ 3 trivial 17.34 37.98 1.84 45.43
#5174 [0, 0, 0, 0, -13725963] ≥ 3 trivial 17.82 38.94 1.92 46.39
#5175 [0, 0, 0, 0, -14825187] ≥ 3 trivial 17.90 39.09 1.94 46.55
#5176 [0, 0, 0, 0, -16300683] ≥ 3 trivial 17.99 39.28 1.95 46.74
#4735 [0, 0, 1, 0, -2437] ≥ 2 trivial 9.18 21.67 0.48 29.12
#5165 [0, 0, 0, 0, -6075] ≥ 2 trivial 10.10 23.49 0.64 30.95
#5421 [0, 0, 1, 0, -9241] ≥ 2 trivial 10.52 24.33 0.71 31.79
#5426 [0, 0, 0, 0, -147] ≥ 2 trivial 10.77 16.05 0.02 23.50
#4733 [0, 0, 1, 0, -1] ≥ 1 trivial 5.49 5.49 -0.86 12.95
#4942 [0, 0, 1, 0, -331] ≥ 1 trivial 6.09 17.67 0.15 25.13
#5120 [0, 0, 0, 0, -2700] ≥ 1 trivial 6.80 21.87 0.50 29.33
#4734 [0, 0, 0, 0, -243] ≥ 1 trivial 6.88 17.05 0.10 24.51
#5164 [0, 0, 0, 0, -972] ≥ 1 trivial 6.88 19.83 0.33 27.28
#5531 [0, 0, 1, 0, -1141] ≥ 1 trivial 8.43 20.15 0.36 27.60
#5117 [0, 0, 0, 0, -5292] ≥ 1 trivial 8.57 23.22 0.61 30.67
#5118 [0, 0, 0, 0, -4563] ≥ 1 trivial 9.81 22.92 0.59 30.37
#5425 [0, 0, 0, 0, -75] ≥ 1 trivial 10.10 14.70 -0.10 22.16
#5119 [0, 0, 1, 0, -8269] ≥ 1 trivial 10.41 24.11 0.69 31.56
#890 [0, 0, 1, 0, -7] ≥ 0 ℤ/3ℤ 3.30 9.89 -0.50 17.34
#4838 [0, 0, 0, 0, -27] ≥ 0 ℤ/2ℤ 3.58 12.66 -0.27 20.11
#5113 [0, 0, 0, 0, -108] ≥ 0 trivial 4.68 15.43 -0.04 22.89
#5114 [0, 0, 1, 0, -4219] ≥ 0 trivial 5.42 22.76 0.58 30.22
#4864 [0, 0, 1, 0, -61] ≥ 0 trivial 5.49 14.28 -0.13 21.74
#5422 [0, 0, 1, 0, -169] ≥ 0 trivial 6.51 16.33 0.04 23.78
#5423 [0, 0, 0, 0, -3] ≥ 0 trivial 6.88 8.27 -0.63 15.72
#5424 [0, 0, 0, 0, -12] ≥ 0 trivial 6.88 11.04 -0.40 18.49
#5115 [0, 0, 1, 0, -817] ≥ 0 trivial 6.99 19.48 0.30 26.93
#5116 [0, 0, 0, 0, -675] ≥ 0 trivial 7.90 19.10 0.27 26.55
#4863 [0, 0, 1, 0, -19] ≥ 0 trivial 8.71 11.93 -0.33 19.39