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

     title: torsion subgroup of $E(\mathbb{Q})$     type: Symbolic+    values:+      '0': $0$+      Z2: $\mathbb{Z}/2\mathbb{Z}$+      Z3: $\mathbb{Z}/3\mathbb{Z}$+      Z4: $\mathbb{Z}/4\mathbb{Z}$+      Z5: $\mathbb{Z}/5\mathbb{Z}$+      Z6: $\mathbb{Z}/6\mathbb{Z}$+      Z7: $\mathbb{Z}/7\mathbb{Z}$+      Z8: $\mathbb{Z}/8\mathbb{Z}$+      Z9: $\mathbb{Z}/9\mathbb{Z}$+      Z10: $\mathbb{Z}/10\mathbb{Z}$+      Z12: $\mathbb{Z}/12\mathbb{Z}$+      Z2xZ2: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}$+      Z2xZ4: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/4\mathbb{Z}$+      Z2xZ6: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/6\mathbb{Z}$+      Z2xZ8: $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/8\mathbb{Z}$ Comments:   comment-reference: For the long list of references leading to this table, see CITE{DujTorsion}.

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