Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 20

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

showing 15 of 413 curves Download the database (JSON) ↓
curve a-invariants rank log N naive height Faltings height log |Δ|
#245 [1, -1, 1, -2588041147235…, 16066636977479…] ≥ 20 150.67 207.89 15.13 195.16
#262 [1, -1, 1, -2106587108001…, 11928388164896…] ≥ 20 154.61 207.29 15.15 196.21
#92 [1, 1, 1, -4437412060110…, 35868422168221…] ≥ 20 159.93 223.32 16.43 210.76
#275 [1, 0, 1, -2034488389107…, 35847670110541…] ≥ 20 162.64 200.28 14.57 189.29
#243 [1, 0, 1, -7911987478128…, 29167873598527…] ≥ 20 163.70 218.29 16.15 208.85
#226 [1, 0, 0, -5332481796538…, 15260056923094…] ≥ 20 164.52 230.81 17.12 220.01
#340 [1, -1, 0, -4478863882000…, 11480846456140…] ≥ 20 169.51 202.62 14.72 190.54
#7 [1, 0, 0, -4310929807663…, 51562835553666…] ≥ 20 170.09 237.85 17.85 229.81
#355 [0, 0, 0, -2528553115672…, 49319408860526…] ≥ 20 173.46 256.18 19.20 244.55
#329 [1, 1, 1, -1657581664797…, 25996833738682…] ≥ 20 174.46 227.27 16.71 213.41
#327 [1, 0, 0, -2622455522825…, 44358788730180…] ≥ 20 175.69 256.28 19.35 247.49
#328 [1, 1, 1, -1738637644733…, 88314544781539…] ≥ 20 176.47 234.32 17.29 220.49
#386 [1, 0, 0, -1959597671778…, 31215574828451…] ≥ 20 182.83 241.59 18.08 232.06
#282 [0, 1, 0, -7243925927858…, 71180727803339…] ≥ 20 185.17 238.60 17.82 228.85
#40 [1, -1, 1, -2445376733363…, 96171018205318…] ≥ 20 216.79 401.13 31.46 393.12