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ELLIPTIC CURVES ARISING FROM THE TRIANGULAR NUMBERS
We study the Legendre family of elliptic curves E(t) : y(2) = x(x − 1)(x − Δ(t)), parametrized by triangular numbers Δ(t) = t(t + 1)/2. We prove that the rank of E(t) over the function field [Formula: see text] is 1, while the rank is 0 over [Formula: see text]. We also produce some infinite subfami...
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| Publicat a: | Integers |
|---|---|
| Autors principals: | , , |
| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
2019
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| Matèries: | |
| Accés en línia: | https://ncbi.nlm.nih.gov/pmc/articles/PMC6604644/ https://ncbi.nlm.nih.gov/pubmed/31275081 |
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