Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 20 and torsion ℤ/2ℤ

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 4 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