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https://research.matf.bg.ac.rs/handle/123456789/2044| Title: | Joint Distribution for the Selmer Ranks of the Congruent Number Curves | Authors: | Vrećica, Ilija | Affiliations: | Algebra and Mathematical Logic | Keywords: | 11G05;11N45;14H52;congruent number problem;elliptic curve;Selmer group | Issue Date: | 1-Mar-2020 | Rank: | M23 | Publisher: | Springer | Journal: | Czechoslovak Mathematical Journal | Abstract: | We determine the distribution over square-free integers n of the pair (dimF2SelΦ(En/ℚ), dimF2SelΦ_(En′/ℚ)), where En is a curve in the congruent number curve family, E′n: y2 = x3 + 4n2x is the image of isogeny Φ: En → E′n, Φ(x, y) = (y2/x2, y(n2 − x2)/x2), and Φ_ is the isogeny dual to Φ. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/2044 | ISSN: | 00114642 | DOI: | 10.21136/CMJ.2019.0171-18 |
| Appears in Collections: | Research outputs |
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