Elliptic Curve Rank Leaderboard

Congruent-number curves with rank lower bound ≥ 6

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showing 22 of 5563 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#2901 [0, 0, 0, -6360182823142…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 58.28 168.59 12.74 176.04
#5052 [0, 0, 0, -4887891348792…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 73.44 216.15 16.70 223.61
#5051 [0, 0, 0, -4272642074938…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 74.00 215.75 16.67 223.20
#5053 [0, 0, 0, -5801090061908…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 75.91 223.57 17.32 231.03
#5054 [0, 0, 0, -1393652428727…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 76.79 226.20 17.54 233.66
#5055 [0, 0, 0, -2909352827939…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 78.22 228.41 17.72 235.87
#5056 [0, 0, 0, -2979103222288…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 78.24 228.48 17.73 235.94
#5058 [0, 0, 0, -2164260278133…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 79.53 234.43 18.23 241.89
#5057 [0, 0, 0, -1216065811286…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 79.65 232.70 18.08 240.16
#5059 [0, 0, 0, -3071720608634…, 0] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 79.88 235.48 18.31 242.94
#4721 [0, 0, 0, -4371483958645…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 48.00 139.83 10.34 147.29
#4722 [0, 0, 0, -3778726822874…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 52.46 153.21 11.46 160.66
#4723 [0, 0, 0, -4440543488446…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 52.62 153.69 11.50 161.15
#4726 [0, 0, 0, -1541273056650…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 53.86 157.43 11.81 164.88
#4724 [0, 0, 0, -8991584786079…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 54.02 155.81 11.67 163.27
#4728 [0, 0, 0, -1836641446925…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 54.04 157.95 11.85 165.41
#4725 [0, 0, 0, -1421390128097…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 54.47 157.18 11.79 164.64
#4727 [0, 0, 0, -1675695255420…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 54.64 157.68 11.83 165.13
#4730 [0, 0, 0, -4353305005882…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 54.90 160.54 12.07 168.00
#4731 [0, 0, 0, -4566413080609…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 54.95 160.69 12.08 168.14
#4729 [0, 0, 0, -3221420605140…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 55.29 159.64 11.99 167.09
#4687 [0, 0, 0, -2826735674954…, 0] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 56.77 166.15 12.54 173.61