A graphical approach to computing Selmer groups of congruent number curves
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Link
http://link.springer.com/content/pdf/10.1007/s11139-006-9008-2.pdf
Reference6 articles.
1. Feng and Xiong.: On elliptic curves y 2=x 3−n 2 x with rank zero. J. Number Theory. 109, 1–26 (2004)
2. Heath-Brown, D.R.: The size of Selmer groups for the congruent number problem. Invent. Math. 111(1), 171–195 (2004)
3. Heath-Brown, D.R.: The size of Selmer groups for the congruent number problem. II. Invent. Math. 118(2), 331–370 (1994)
4. James, K., Ono, K.: Selmer groups of quadratic twists of elliptic curves. Math. Ann. 314(1), 1–17 (1999)
5. Yu, G.: Average size of 2-Selmer groups of elliptic curves, II, Acta Arith. 117(1), 1–33 (2005)
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1. Joint distribution for the Selmer ranks of the congruent number curves;Czechoslovak Mathematical Journal;2019-09-23
2. Three-Selmer groups for elliptic curves with 3-torsion;The Ramanujan Journal;2013-03-14
3. ON SELMER GROUPS AND TATE–SHAFAREVICH GROUPS FOR ELLIPTIC CURVESy2=x3−n3;Mathematika;2012-04-12
4. On several families of elliptic curves with arbitrary large Selmer groups;Science China Mathematics;2010-08-10
5. 2-Selmer groups and the Birch–Swinnerton-Dyer Conjecture for the congruent number curves;Journal of Number Theory;2009-06
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