Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 19 and torsion ℤ/2ℤ

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showing 10 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#802 [1, 0, 0, -2918870306905…, 19149137396656…] ≥ 20 ℤ/2ℤ 208.23 361.21 28.97 374.03
#1992 [1, 0, 0, -1779353550079…, 34258366504667…] ≥ 20 ℤ/2ℤ 208.23 367.66 29.32 375.19
#40 [1, -1, 1, -2445376733363…, 96171018205318…] ≥ 20 ℤ/2ℤ 216.79 393.12 31.46 401.13
#313 [1, -1, 1, -2201688153834…, 12571948427558…] ≥ 20 ℤ/2ℤ 216.79 385.44 31.12 400.82
#3553 [1, 0, 0, -2011143219219…, 30156900228721…] ≥ 19 ℤ/2ℤ 173.46 315.70 25.03 324.56
#3875 [1, 0, 0, -3099002508611…, 20997686720958…] ≥ 19 ℤ/2ℤ 173.46 315.28 25.38 332.76
#39 [1, -1, 1, 31368015812338…, 30203880269856…] ≥ 19 ℤ/2ℤ 192.85 335.25 26.62 342.70
#312 [1, -1, 1, -6568019580778…, 63570487024691…] ≥ 19 ℤ/2ℤ 192.85 338.09 26.96 348.83
#1951 [1, -1, 1, -5402916719086…, 48337258598865…] ≥ 19 ℤ/2ℤ 193.19 330.64 26.67 348.25
#1996 [1, -1, 1, -5598400084645…, 44651244271983…] ≥ 19 ℤ/2ℤ 193.19 339.44 27.01 348.35