caa a22 4500 463177916 CHVBK 20180406164830.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s11139-006-9008-2 doi (NATIONALLICENCE)springer-10.1007/s11139-006-9008-2 A graphical approach to computing Selmer groups of congruent number curves [Elektronische Daten] [Bryan Faulkner, Kevin James] Let E n:y 2=x 3−n 2 x denote the family of congruent number elliptic curves. Feng and Xiong (2004) equate the nontriviality of the Selmer groups associated with E n to the presence of certain types of partitions of graphs associated with the prime factorization of n. In this paper, we extend the ideas of Feng and Xiong in order to compute the Selmer groups of E n. Springer Science+Business Media, LLC, 2007 Elliptic curves nationallicence Selmer groups nationallicence Congruent number nationallicence Faulkner Bryan Department of Mathematical Sciences, Clemson University, Box 340975, 29634-0975, Clemson, South Carolina, USA aut James Kevin Department of Mathematical Sciences, Clemson University, Box 340975, 29634-0975, Clemson, South Carolina, USA aut The Ramanujan Journal Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 14/1(2007-08-01), 107-129 1382-4090 14:1<107 2007 14 11139 https://doi.org/10.1007/s11139-006-9008-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-006-9008-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Faulkner Bryan Department of Mathematical Sciences, Clemson University, Box 340975, 29634-0975, Clemson, South Carolina, USA aut NATIONALLICENCE 700 1- James Kevin Department of Mathematical Sciences, Clemson University, Box 340975, 29634-0975, Clemson, South Carolina, USA aut NATIONALLICENCE 773 0- The Ramanujan Journal Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 14/1(2007-08-01), 107-129 1382-4090 14:1<107 2007 14 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer