Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 12 and torsion ℤ/4ℤ

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showing 11 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1919 [1, 1, 1, -6256786656374…, 19049126547136…] ≥ 13 ℤ/4ℤ 145.51 374.59 30.61 397.04
#1918 [1, -1, 1, -1844990787237…, 96445313848956…] ≥ 13 ℤ/4ℤ 145.94 384.61 31.06 400.29
#803 [0, -1, 0, -8932110013773…, 32231848935325…] ≥ 13 ℤ/4ℤ 154.65 372.70 29.88 384.29
#3179 [1, 1, 1, -2842233550864…, 17952730709933…] ≥ 13 ℤ/4ℤ 154.68 391.18 31.37 401.58
#325 [0, 1, 0, -1014448194215…, 38021628663351…] ≥ 13 ℤ/4ℤ 157.83 402.12 32.28 412.31
#3704 [0, 1, 0, -1017623839762…, 39275012198212…] ≥ 12 ℤ/4ℤ 106.49 276.10 21.84 287.98
#1921 [1, 0, 0, -1086750289534…, 43597316571532…] ≥ 12 ℤ/4ℤ 107.05 286.66 22.88 301.99
#3562 [1, -1, 1, -2037619837783…, 34753468662079…] ≥ 12 ℤ/4ℤ 109.87 272.38 21.49 283.15
#3705 [1, 0, 0, -7447528317264…, 24734767791049…] ≥ 12 ℤ/4ℤ 113.28 299.00 23.93 314.67
#1125 [1, 1, 1, -2044361857832…, 11659777722440…] ≥ 12 ℤ/4ℤ 115.96 307.64 24.40 317.77
#3706 [1, -1, 1, -1743521616453…, 88610196487924…] ≥ 12 ℤ/4ℤ 131.34 326.80 26.37 344.85