Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 11

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|
#212 [0, 1, 0, -2215561807403…, 35386140191724…] ≥ 11 172.79 214.33 15.84 205.37
#34 [0, 1, 0, -1153065301657…, 30495001386492…] ≥ 11 94.87 150.20 10.55 142.21
#33 [0, 1, 0, -1033620669162…, 40420462114230…] ≥ 11 82.27 136.05 9.10 121.97
#344 [1, -1, 1, -2170332799426…, 38217297474283…] ≥ 11 71.62 117.55 7.69 106.77
#139 [1, -1, 0, -56880994, 168642718624] ≥ 11 53.89 65.23 3.33 54.58
#138 [1, -1, 0, -34125664, 69523358164] ≥ 11 53.78 63.65 3.27 54.48
#137 [1, -1, 0, -41032399, 106082399089] ≥ 11 53.75 64.30 3.29 54.44
#145 [1, -1, 0, -103672594, 405866860144] ≥ 11 52.74 66.98 3.36 53.43
#136 [1, -1, 0, -38099014, 115877816224] ≥ 11 52.55 64.47 3.38 56.08
#50 [0, 0, 1, -16359067, 26274178986] ≥ 11 51.25 61.51 3.04 51.25