Visualizing elements of order in the Tate–Shafarevich group of an elliptic curve
From MaRDI portal
Publication:2971004
DOI10.1112/S1461157016000243zbMath1404.11080MaRDI QIDQ2971004
Publication date: 4 April 2017
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Elliptic curves over global fields (11G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
- Finding rational points on elliptic curves using 6-descent and 12-descent
- The Neron fiber of Abelian varieties with potential good reduction
- The Magma algebra system. I: The user language
- Visualizing elements of order three in the Shafarevich-Tate group
- Visibility of Shafarevich-Tate groups of abelian varieties.
- 2-dimensional simple factors of \(J_ 0(N)\)
- Class groups and Selmer groups
- Infinite descent on elliptic curves
- Galois properties of points of finite order of elliptic curves
- On the factors of the Jacobian variety of a modular function field
- Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves
- On families of 7- and 11-congruent elliptic curves
- Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves
- Computing with the analytic Jacobian of a genus 2 curve
- Curves of genus 2 with good reduction away from 2 with a rational Weierstrass point
- Visualizing Elements in the Shafarevich—Tate Group
- Sur la courbe modulaireXE(7)
- Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero
- On a question of B. Mazur
- Moduli of abelian varieties
- Jacobians of genus one curves.
This page was built for publication: Visualizing elements of order in the Tate–Shafarevich group of an elliptic curve