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Elliptic curves / Algebraic curves / Number theory / Abelian varieties / Diophantine geometry / Birch and Swinnerton-Dyer conjecture / Twists of curves / Mordell–Weil theorem / Division polynomials / Abstract algebra / Algebraic geometry / Mathematics
Date: 2013-01-15 10:57:31
Elliptic curves
Algebraic curves
Number theory
Abelian varieties
Diophantine geometry
Birch and Swinnerton-Dyer conjecture
Twists of curves
Mordell–Weil theorem
Division polynomials
Abstract algebra
Algebraic geometry
Mathematics

RANKS OF ELLIPTIC CURVES WITH PRESCRIBED TORSION OVER NUMBER FIELDS JOHAN BOSMAN, PETER BRUIN, ANDREJ DUJELLA, AND FILIP NAJMAN Abstract. We study the structure of the Mordell–Weil group of elliptic curves over number

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