Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 12 and torsion ℤ/2ℤ × ℤ/2ℤ

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showing 13 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#319 [1, -1, 0, -1478818379630…, 21612333371564…] ≥ 15 ℤ/2ℤ × ℤ/2ℤ 183.53 395.39 31.75 406.53
#1835 [0, 1, 0, -1268052845566…, 64379331369939…] ≥ 14 ℤ/2ℤ × ℤ/2ℤ 158.15 329.39 26.14 336.99
#1836 [1, 1, 1, -6276806730722…, 18921085951426…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 145.51 385.82 30.96 397.05
#1993 [1, -1, 1, -2020050562772…, 77043916201717…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 145.94 392.44 31.41 400.56
#1379 [0, -1, 0, -9760152474023…, -3518287165082…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 154.65 370.10 29.53 377.65
#3178 [1, 1, 1, -6788760052300…, -4283665841626…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 154.68 396.24 31.72 404.19
#2010 [0, 1, 0, -1622134663627…, -1709160933239…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 157.83 398.73 31.93 406.81
#3844 [0, 1, 0, -1674433172091…, -1763177092982…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 106.49 281.97 22.19 289.47
#1861 [1, 0, 0, -1209873315556…, 33105831183996…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 107.05 294.32 23.23 302.31
#3582 [1, -1, 1, -4370576197248…, -5961121583132…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 109.87 277.65 21.83 285.44
#1114 [1, 1, 1, -3303894515586…, 73094841061617…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 115.96 305.87 24.75 326.05
#3172 [0, 0, 0, -2241400793004…, 40774547849544…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 128.90 311.74 24.87 324.88
#1802 [1, -1, 1, -1444491707528…, 55992158377962…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 134.38 335.62 26.69 344.29