History of First known Mordell curves of given rank

   number-header: $k$ Numbers:-  '0':-    pos:-      param-latex: $k > 0$-      number: '1'-    neg:-      param-latex: $k < 0$-      number: '-1'-  '1':-    pos:-      param-latex: $k > 0$-      number: '2'-    neg:-      param-latex: $k < 0$-      number: '-2'-  '2':-    pos:-      param-latex: $k > 0$-      number: '15'-    neg:-      param-latex: $k < 0$-      number: '-11'-  '3':-    pos:-      param-latex: $k > 0$-      number: '113'-    neg:-      param-latex: $k < 0$-      number: '-174'-  '4':-    pos:-      param-latex: $k > 0$-      number: '2089'-    neg:-      param-latex: $k < 0$-      number: '-2351'-  '5':-    pos:-      param-latex: $k > 0$-      number: '66265'-    neg:-      param-latex: $k < 0$-      number: '-28279'-  '6':-    pos:-      param-latex: $k > 0$-      number: '1358556'-    neg:-      param-latex: $k < 0$-      number: '-975379'-  '7':-    pos:-      param-latex: $k > 0$-      number: '47550317'-    neg:-      param-latex: $k < 0$-      number: '-56877643'-  '8':-    pos:-      param-latex: $k > 0$-      number: '1632201497'-    neg:-      param-latex: $k < 0$-      number: '-2520963512'-  '9':-    pos:-      param-latex: $k > 0$-      number: '185418133372'-    neg:-      param-latex: $k < 0$-      number: '-463066403167'-  '10':-    pos:-      param-latex: $k > 0$-      number: '68513487607153'-    neg:-      param-latex: $k < 0$-      number: '-56736325657288'-  '11':-    pos:-      param-latex: $k > 0$-      number: '35470887868736225'-    neg:-      param-latex: $k < 0$-      number: '-46111487743732324'-  '12':-    pos:-      param-latex: $k > 0$-      number: '176415071705787247056'-    neg:-      param-latex: $k < 0$-      number: '-6533891544658786928'+- param-latex: $k > 0$+  params:+    r: '0'+    sign-of-k: pos+  number: '1'+- param-latex: $k < 0$+  params:+    r: '0'+    sign-of-k: neg+  number: '-1'+- param-latex: $k > 0$+  params:+    r: '1'+    sign-of-k: pos+  number: '2'+- param-latex: $k < 0$+  params:+    r: '1'+    sign-of-k: neg+  number: '-2'+- param-latex: $k > 0$+  params:+    r: '2'+    sign-of-k: pos+  number: '15'+- param-latex: $k < 0$+  params:+    r: '2'+    sign-of-k: neg+  number: '-11'+- param-latex: $k > 0$+  params:+    r: '3'+    sign-of-k: pos+  number: '113'+- param-latex: $k < 0$+  params:+    r: '3'+    sign-of-k: neg+  number: '-174'+- param-latex: $k > 0$+  params:+    r: '4'+    sign-of-k: pos+  number: '2089'+- param-latex: $k < 0$+  params:+    r: '4'+    sign-of-k: neg+  number: '-2351'+- param-latex: $k > 0$+  params:+    r: '5'+    sign-of-k: pos+  number: '66265'+- param-latex: $k < 0$+  params:+    r: '5'+    sign-of-k: neg+  number: '-28279'+- param-latex: $k > 0$+  params:+    r: '6'+    sign-of-k: pos+  number: '1358556'+- param-latex: $k < 0$+  params:+    r: '6'+    sign-of-k: neg+  number: '-975379'+- param-latex: $k > 0$+  params:+    r: '7'+    sign-of-k: pos+  number: '47550317'+- param-latex: $k < 0$+  params:+    r: '7'+    sign-of-k: neg+  number: '-56877643'+- param-latex: $k > 0$+  params:+    r: '8'+    sign-of-k: pos+  number: '1632201497'+- param-latex: $k < 0$+  params:+    r: '8'+    sign-of-k: neg+  number: '-2520963512'+- param-latex: $k > 0$+  params:+    r: '9'+    sign-of-k: pos+  number: '185418133372'+- param-latex: $k < 0$+  params:+    r: '9'+    sign-of-k: neg+  number: '-463066403167'+- param-latex: $k > 0$+  params:+    r: '10'+    sign-of-k: pos+  number: '68513487607153'+- param-latex: $k < 0$+  params:+    r: '10'+    sign-of-k: neg+  number: '-56736325657288'+- param-latex: $k > 0$+  params:+    r: '11'+    sign-of-k: pos+  number: '35470887868736225'+- param-latex: $k < 0$+  params:+    r: '11'+    sign-of-k: neg+  number: '-46111487743732324'+- param-latex: $k > 0$+  params:+    r: '12'+    sign-of-k: pos+  number: '176415071705787247056'+- param-latex: $k < 0$+  params:+    r: '12'+    sign-of-k: neg+  number: '-6533891544658786928'