Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 22

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 34 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#3883 [1, -1, 1, -1371835850523…, 19283941770922…] ≥ 22 trivial 163.74 215.66 16.77 226.70
#625 [1, -1, 1, -4704723986051…, 39336166825851…] ≥ 22 trivial 164.25 196.40 15.26 209.68
#3814 [1, 0, 1, -1208324064247…, 50734085363020…] ≥ 22 trivial 164.65 207.77 16.14 219.41
#1979 [1, 0, 0, -4154577512147…, 10255271834578…] ≥ 22 trivial 166.78 217.97 17.01 230.03
#1980 [1, 0, 0, -1134042225153…, 46673596002938…] ≥ 22 trivial 169.11 220.78 17.25 233.05
#1848 [1, -1, 1, -4407502257701…, 34156204281029…] ≥ 22 trivial 169.74 213.32 16.54 223.30
#3918 [1, -1, 1, -1321456503683…, 57127931365304…] ≥ 22 trivial 170.39 209.13 16.21 219.68
#3813 [1, 0, 0, -9801878445678…, 12058534260744…] ≥ 22 trivial 170.40 242.71 19.01 253.37
#1849 [1, 1, 1, -2884105997722…, 17367724857177…] ≥ 22 trivial 170.52 226.50 17.62 235.84
#376 [1, 0, 0, -1445990013167…, 21128721995181…] ≥ 22 trivial 170.96 227.51 17.85 240.68
#3886 [1, 0, 0, -1258388360053…, 17157070715388…] ≥ 22 trivial 171.51 240.77 18.96 254.07
#1851 [1, 0, 0, -8644621550971…, 30952054057700…] ≥ 22 trivial 172.54 245.52 19.40 259.86
#575 [0, 1, 0, -4699284842405…, 12474799783649…] ≥ 22 trivial 173.50 218.54 17.04 230.41
#626 [1, 0, 0, -1824519766025…, 71000315025379…] ≥ 22 trivial 174.43 226.19 17.56 234.47
#3721 [0, 1, 0, -5100446049204…, 13748806420152…] ≥ 22 trivial 175.01 192.30 14.81 203.01
#1941 [0, 1, 0, -3409519797322…, 24356164608922…] ≥ 22 trivial 176.11 210.49 16.38 222.54
#1940 [1, -1, 0, -3806974528207…, 10000286554289…] ≥ 22 trivial 176.12 207.00 15.98 216.15
#3884 [1, 0, 0, -8591186491956…, 29109843399218…] ≥ 22 trivial 178.02 208.61 16.14 218.39
#3885 [1, -1, 1, -3170616465080…, 25507037642731…] ≥ 22 trivial 180.69 213.88 16.54 222.63
#1850 [1, 0, 0, -2162022522244…, 37932309716061…] ≥ 22 trivial 181.05 245.00 19.20 255.70
#1852 [1, 0, 0, -8909630566922…, 24324373632051…] ≥ 22 trivial 182.25 251.66 19.68 259.95
#1853 [0, 0, 0, -2028600625447…, 35357091311489…] ≥ 22 trivial 182.41 257.34 20.28 269.33
#8 [1, 0, 1, -9402995177763…, 10707363070719…] ≥ 22 trivial 182.72 229.26 17.87 239.38
#566 [1, 0, 0, -3182987460122…, 20390075715776…] ≥ 22 trivial 183.89 226.64 17.63 236.14
#739 [0, 1, 0, -1746892040458…, 96283203949551…] ≥ 22 trivial 186.49 238.95 18.65 248.31
#744 [1, 0, 0, -1520516072003…, 72081515358692…] ≥ 22 trivial 186.82 248.04 19.58 261.55
#538 [0, 1, 0, -3328799528155…, 26046095202214…] ≥ 22 trivial 187.77 227.39 17.68 236.49
#1942 [1, 0, 0, -8261321569487…, 29224295289611…] ≥ 22 trivial 188.10 220.84 17.21 232.11
#304 [1, 0, 0, -1998675662524…, 34278416330918…] ≥ 22 trivial 188.12 229.17 17.96 241.65
#433 [0, 0, 0, -1365250332763…, 20124145234049…] ≥ 22 trivial 188.68 230.45 17.97 240.58
#1943 [0, 1, 0, -3935496949853…, 30338229386192…] ≥ 22 trivial 189.07 225.37 17.60 236.79
#397 [1, 0, 1, -4143582771172…, 40810549011543…] ≥ 22 trivial 191.71 228.93 17.79 237.38
#4118 [1, 0, 1, -1737195285250…, 65528379010285…] ≥ 22 ℤ/2ℤ 228.67 391.85 31.36 400.10
#4119 [1, 0, 1, 43053899560358…, 42065719258948…] ≥ 22 ℤ/2ℤ 228.67 396.29 31.71 403.23