Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 3 and torsion ℤ/9ℤ

Click a column header to sort; click again to reverse. Curves missing a value (no primes of bad reduction supplied yet) sort last.

Download the database (JSON) ↓

showing 22 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1117 [1, 0, 0, -2101219125610…, 37072777483029…] ≥ 4 ℤ/9ℤ 37.33 189.44 15.32 214.17
#1116 [1, 0, 0, -8445699463299…, 94467055910851…] ≥ 4 ℤ/9ℤ 47.10 208.56 16.44 225.25
#1894 [1, 0, 0, 27214190426450…, 70269004493489…] ≥ 4 ℤ/9ℤ 48.28 221.81 17.16 229.26
#2807 [1, 0, 0, -1787132445502…, 28147864949458…] ≥ 4 ℤ/9ℤ 51.70 233.79 18.16 241.25
#2803 [1, -1, 1, -3957522204786…, 30299886145851…] ≥ 4 ℤ/9ℤ 54.59 248.42 19.73 264.42
#2797 [1, 0, 0, -2340345387570…, 56740472134219…] ≥ 4 ℤ/9ℤ 58.50 261.93 20.54 270.28
#2794 [1, 0, 0, -1034897688936…, 42682115931303…] ≥ 4 ℤ/9ℤ 67.04 305.99 24.25 315.76
#1092 [1, -1, 1, -4136826769709…, 10241166849391…] ≥ 3 ℤ/9ℤ 21.32 84.66 6.36 105.67
#1580 [1, 0, 0, -2664394370156…, 52937734034316…] ≥ 3 ℤ/9ℤ 22.72 115.21 8.67 131.99
#1577 [1, 0, 0, -8474716297178…, 30116181419354…] ≥ 3 ℤ/9ℤ 24.89 109.04 7.95 121.65
#1578 [1, 0, 0, -1469422848291…, 68555072297764…] ≥ 3 ℤ/9ℤ 29.50 134.54 10.26 150.92
#1573 [1, 0, 0, 12759458432333…, 14894378294123…] ≥ 3 ℤ/9ℤ 29.96 136.68 10.08 143.59
#1575 [1, 0, 0, -4553771841656…, 11846667374366…] ≥ 3 ℤ/9ℤ 30.53 134.21 10.07 147.41
#2703 [1, 0, 0, 39748989942083…, 32043757181842…] ≥ 3 ℤ/9ℤ 30.69 160.28 12.05 167.72
#1576 [1, 0, 0, -9209875547662…, 24576473900783…] ≥ 3 ℤ/9ℤ 31.40 159.82 12.00 167.29
#1579 [1, 0, 0, -2460021797486…, 47041323790592…] ≥ 3 ℤ/9ℤ 31.86 160.03 12.23 173.20
#1574 [1, 0, 0, -1751190633056…, 28206363730630…] ≥ 3 ℤ/9ℤ 32.72 152.57 11.94 172.17
#2695 [1, 0, 0, -1120394540235…, 20279431254320…] ≥ 3 ℤ/9ℤ 32.80 149.54 11.16 157.70
#2709 [1, 0, 0, -3217435546257…, 41616279115135…] ≥ 3 ℤ/9ℤ 32.85 142.44 10.55 149.92
#2696 [1, 0, 0, -1950873533612…, 33177096191505…] ≥ 3 ℤ/9ℤ 33.92 143.93 10.96 158.68
#2692 [1, 0, 0, -1273153839610…, 17485155070163…] ≥ 3 ℤ/9ℤ 34.56 148.45 11.79 171.22
#2691 [1, 0, 0, -1461055764835…, 27792751576411…] ≥ 3 ℤ/9ℤ 34.72 149.96 11.21 158.33