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Experimental Mathematics Volume 9, 2000 - Issue 4
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Original Articles

Rank Computations for the Congruent Number Elliptic Curves

Nicholas F. Rogers Department of Mathematics, Harvard University, Cambridge, MA, 02138, United States E-mail: [email protected]
Pages 591-594 | Published online: 04 Apr 2012

Citations (11)

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Karl Rubin & Alice Silverberg. (2000) Ranks of Elliptic Curves in Families of Quadratic Twists. Experimental Mathematics 9:4, pages 583-590.
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Articles from other publishers (10)

Seoyoung Kim & M. Murty. (2022) From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture. Mathematics of Computation 92:339, pages 385-408.
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David Lowry-Duda appendix by Brendan Hass. 2021. Arithmetic Geometry, Number Theory, and Computation. Arithmetic Geometry, Number Theory, and Computation 521 536 .
Harris B. Daniels & Hannah Goodwillie. (2017) On the ranks of elliptic curves with isogenies. International Journal of Number Theory 13:09, pages 2215-2227.
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Farzali Izadi, Foad Khoshnam & Dustin Moody. (2017) Heron quadrilaterals via elliptic curves. Rocky Mountain Journal of Mathematics 47:4.
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Farzali Izadi & Kamran Nabardi. (2015) A family of elliptic curves with rank $$\ge 5$$ ? 5. Periodica Mathematica Hungarica 71:2, pages 243-249.
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Mark Watkins, Stephen Donnelly, Noam D. Elkies, Tom Fisher, Andrew Granville & Nicholas F. Rogers. (2015) Ranks of quadratic twists of elliptic curves. Publications Mathématiques de Besançon:2, pages 63-98.
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A.S. Janfada, S. Salami, A. Dujella & J.C. Peral. (2014) On high rank $\pi/3$ and $2\pi/3$-congruent number elliptic curves. Rocky Mountain Journal of Mathematics 44:6.
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Juli?n Aguirre & Juan Carlos Peral. (2013) Sums of biquadrates and elliptic curves. Glasnik Matematicki 48:1, pages 49-58.
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Karl Rubin & Alice Silverberg. (2002) Ranks of elliptic curves. Bulletin of the American Mathematical Society 39:4, pages 455-474.
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Noam D. Elkies. 2002. Algorithmic Number Theory. Algorithmic Number Theory 244 251 .

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