History of Highest known ranks of elliptic curves over $\mathbb{Q}$ with prescribed torsion subgroup

   number-header: $r$ Numbers:-  '0':-    param-latex: $0$-    number: '28'-    comments: Elkies 2006-  Z2:-    param-latex: $\mathbb{Z}/2\mathbb{Z}$-    number: '20'-    comment: Elkies-Klagsbrun 2020-  Z3:-    param-latex: $\mathbb{Z}/3\mathbb{Z}$-    number: '15'-    comment: Elkies-Klagsbrun 2020-  Z4:-    param-latex: $\mathbb{Z}/4\mathbb{Z}$-    number: '13'-    comment: Elkies-Klagsbrun 2020-  Z5:-    param-latex: $\mathbb{Z}/5\mathbb{Z}$-    number: '9'-    comment: Klagsbrun 2020-  Z6:-    param-latex: $\mathbb{Z}/6\mathbb{Z}$-    number: '9'-    comment: Elkies-Klagsbrun 2020-  Z7:-    param-latex: $\mathbb{Z}/7\mathbb{Z}$-    number: '6'-    comment: Elkies-Klagsbrun 2020-  Z8:-    param-latex: $\mathbb{Z}/8\mathbb{Z}$-    number: '6'-    comment: Elkies 2006-  Z9:-    param-latex: $\mathbb{Z}/9\mathbb{Z}$-    number: '4'-    comment: Fisher 2009-  Z10:-    param-latex: $\mathbb{Z}/10\mathbb{Z}$-    number: '4'-    comment: Dujella 2005-  Z12:-    param-latex: $\mathbb{Z}/12\mathbb{Z}$-    number: '4'-    comment: Fisher 2008-  Z2xZ2:-    param-latex: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}$-    number: '15'-    comment: Elkies 2009-  Z2xZ4:-    param-latex: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/4\mathbb{Z}$-    number: '9'-    comment: Dujella-Peral 2012-  Z2xZ6:-    param-latex: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/6\mathbb{Z}$-    number: '6'-    comment: Elkies 2006-  Z2xZ8:-    param-latex: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/8\mathbb{Z}$-    number: '3'-    comment: Connell 2000, Dujella 2000+- param-latex: $0$+  comments: Elkies 2006+  params:+    T: '0'+  number: '28'+- param-latex: $\mathbb{Z}/2\mathbb{Z}$+  comment: Elkies-Klagsbrun 2020+  params:+    T: Z2+  number: '20'+- param-latex: $\mathbb{Z}/3\mathbb{Z}$+  comment: Elkies-Klagsbrun 2020+  params:+    T: Z3+  number: '15'+- param-latex: $\mathbb{Z}/4\mathbb{Z}$+  comment: Elkies-Klagsbrun 2020+  params:+    T: Z4+  number: '13'+- param-latex: $\mathbb{Z}/5\mathbb{Z}$+  comment: Klagsbrun 2020+  params:+    T: Z5+  number: '9'+- param-latex: $\mathbb{Z}/6\mathbb{Z}$+  comment: Elkies-Klagsbrun 2020+  params:+    T: Z6+  number: '9'+- param-latex: $\mathbb{Z}/7\mathbb{Z}$+  comment: Elkies-Klagsbrun 2020+  params:+    T: Z7+  number: '6'+- param-latex: $\mathbb{Z}/8\mathbb{Z}$+  comment: Elkies 2006+  params:+    T: Z8+  number: '6'+- param-latex: $\mathbb{Z}/9\mathbb{Z}$+  comment: Fisher 2009+  params:+    T: Z9+  number: '4'+- param-latex: $\mathbb{Z}/10\mathbb{Z}$+  comment: Dujella 2005+  params:+    T: Z10+  number: '4'+- param-latex: $\mathbb{Z}/12\mathbb{Z}$+  comment: Fisher 2008+  params:+    T: Z12+  number: '4'+- param-latex: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}$+  comment: Elkies 2009+  params:+    T: Z2xZ2+  number: '15'+- param-latex: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/4\mathbb{Z}$+  comment: Dujella-Peral 2012+  params:+    T: Z2xZ4+  number: '9'+- param-latex: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/6\mathbb{Z}$+  comment: Elkies 2006+  params:+    T: Z2xZ6+  number: '6'+- param-latex: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/8\mathbb{Z}$+  comment: Connell 2000, Dujella 2000+  params:+    T: Z2xZ8+  number: '3'