Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 5

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

showing 10 of 413 curves Download the database (JSON) ↓
curve a-invariants rank log N naive height Faltings height log |Δ|
#41 [0, 0, 1, -79, 342] ≥ 5 16.76 25.19 0.11 16.76
#55 [1, 0, 0, -22, 219] ≥ 5 16.83 24.32 0.08 16.83
#107 [0, 0, 1, -247, 1476] ≥ 5 16.95 28.14 0.22 16.95
#108 [1, -1, 0, -415, 3481] ≥ 5 17.36 29.77 0.40 19.66
#109 [0, 0, 0, -532, 4420] ≥ 5 17.44 30.44 0.49 20.90
#110 [0, 1, 1, -100, 110] ≥ 5 17.84 25.44 0.18 17.84
#111 [0, 0, 1, -139, 732] ≥ 5 17.91 26.72 0.21 17.91
#149 [0, 0, 1, -169, 930] ≥ 5 17.99 27.19 0.23 17.99
#268 [0, 0, 1, -139, 72] ≥ 5 18.95 26.42 0.27 18.95
#251 [0, 0, 0, -292, 1105] ≥ 5 19.40 28.64 0.43 20.79