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Experimental Mathematics Volume 10, 2001 - Issue 3
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Original Articles

Elliptic Curves of High Rank with Nontrivial Torsion Group over Q

Leopoldo Kulesz UFR de mathématiques, Université Paris 7, 2 place Jussieu, F-75251, Paris, France E-mail: [email protected]
&
Colin Stahlke Mathematisches Institut der Universität Bonn, Beringstraße 1, D-53115, Bonn, Germany E-mail: [email protected]
Pages 475-480 | Published online: 04 Apr 2012

REFERENCES

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  • Fermigier , S. 1997 . “Une courbe elliptique définie sur Q de rang ≥ 22” . Acta Arith. , 82 ( 4 ) : 359 – 363 . [Fermigier 1997]
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  • Kihara , S. 1997 . “On an infinite family of elliptic curves with rank ≥ 14 over Q” . Proc. Japan Acad. Ser. A Math. Sci. , 73 ( 2 ) : 32 [Kihara 1997b]
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  • Nagao , K. 1994 . “An example of elliptic curve over Q(T) with rank ≥ 13” . Proc. Japan Acad. Ser. A Math. Sci. , 70 ( 5 ) : 152 – 153 . [Nagao 1994]
  • Nagao , K. 1997 . “Construction of high-rank elliptic curves with a nontrivial torsion point” . Math. Comp. , 66 ( 217 ) : 411 – 415 . [Nagao 1997]
  • Nagao , K. and Kouya , T. 1994 . “A example of elliptic curve over Q with rank ≥ 21” . Pro Japan Acad. Ser. A Math. Sci. , 70 ( 4 ) : 104 – 105 . [Nagao and Kouya 1994]
  • Stoll , M. 2001 . “Implementing 2-descent for Jacobians of hyperelliptic curves” . Acta Arith. , 98 : 245 – 277 . [Stoll 2001]

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