Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 13

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|
#199 [1, 0, 0, -2082020786419…, 36732936589138…] ≥ 13 182.68 227.96 16.83 215.81
#209 [1, 0, 0, -2961803807151…, 61324180930341…] ≥ 13 176.04 229.01 16.96 217.78
#205 [0, 1, 0, -1803128213046…, 93791269484285…] ≥ 13 167.56 206.81 15.08 194.99
#325 [0, 1, 0, -1014448194215…, 38021628663351…] ≥ 13 157.83 412.31 32.28 402.12
#45 [1, 0, 0, -5607159337021…, 52994280301716…] ≥ 13 127.97 279.35 21.20 269.24
#52 [0, 0, 0, -2827529113871…, 0] ≥ 13 127.69 201.24 14.84 193.79
#51 [0, 0, 0, 90389647280869…, 0] ≥ 13 123.00 190.91 13.98 183.46
#61 [0, 0, 1, 0, 75255852424198…] ≥ 13 87.29 95.85 6.04 88.39
#203 [1, 0, 1, -6897389822833…, 71134655768361…] ≥ 13 83.94 141.79 9.71 131.10
#202 [1, 0, 0, -7699301552946…, 82603709601203…] ≥ 13 81.92 142.09 9.67 129.93
#201 [1, -1, 1, -2033019015003…, 11118397813741…] ≥ 13 79.65 138.08 9.33 125.66
#200 [1, -1, 1, -1213916060668…, 55537316802098…] ≥ 13 77.81 136.69 9.35 127.27
#106 [0, 0, 0, -77547091492, 64550111722388…] ≥ 13 69.91 86.84 5.25 78.46
#89 [0, 0, 0, -6529826212, 19599566294890…] ≥ 13 65.81 79.41 4.54 69.28
#158 [0, -1, 1, -1876573260, 32705933898332] ≥ 13 64.74 75.76 4.25 65.84