Construction of an infinite family of elliptic curves of 2-Selmer rank 1 from Heron triangles
Author:
Funder
DST-SERB, India
CSIR-India
DST-SERB
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s40993-022-00411-z.pdf
Reference25 articles.
1. Birch, B.J., Swinnerton-Dyer, H.P.F.: Notes on elliptic curves II. J. Reine Angew. Math. 218, 79–108 (1965)
2. Heath-Brown, D.R.: The size of Selmer groups for the congruent number problem. Invent. Math. 111(1), 171–195 (1993)
3. Heath-Brown, D.R.: The size of Selmer groups for the congruent number problem, II. Invent. Math. 118, 331–370 (1994)
4. Buchholz, R.H., Randall, L.R.: An infinite set of Heron triangles with two rational medians. Am. Math. Mthly. 104(2), 107–115 (1997)
5. Buchholz, R.H., Stingley, R.P.: Heron triangles with three rational medians. Rocky Mt. J. Math. 49(2), 405–417 (2019)
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1. Size of the 2-Selmer groups for Heronian elliptic curves;European Journal of Mathematics;2023-11-08
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