Second $p$-descents on elliptic curves
From MaRDI portal
Publication:2862535
DOI10.1090/S0025-5718-2013-02713-5zbMath1285.11084arXiv1209.3085MaRDI QIDQ2862535
Publication date: 15 November 2013
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.3085
Related Items (5)
Second isogeny descents and the Birch and Swinnerton-Dyer conjectural formula ⋮ Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve ⋮ Most binary forms come from a pencil of quadrics ⋮ Generalized Jacobians and explicit descents ⋮ Explicit $n$-descent on elliptic curves III. Algorithms
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves
- The period-index obstruction for elliptic curves
- Finding rational points on elliptic curves using 6-descent and 12-descent
- Period, index and potential \(\text Ш\)
- The ``main conjectures of Iwasawa theory for imaginary quadratic fields
- On the conjecture of Birch and Swinnerton-Dyer
- The Magma algebra system. I: The user language
- Computing a Selmer group of a Jacobian using functions on the curve
- Modular elliptic curves and Fermat's Last Theorem
- Class groups and Selmer groups
- Second isogeny descents and the Birch and Swinnerton-Dyer conjectural formula
- The period-index problem in WC-groups. I: Elliptic curves
- The Diophantine equation \(ax^3+by^3+cz^3=0\)
- Implementing 2-descent for Jacobians of hyperelliptic curves
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- Two-cover descent on hyperelliptic curves
- Explicit 4-descents on an elliptic curve
- Descent on Picard groups using functions on curves
- Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.
- Arithmetic on Curves of Genus 1 (V). Two Counter-Examples
- Second descents for elliptic curves
- How to do a 𝑝-descent on an elliptic curve
- Computing the $p$-Selmer group of an elliptic curve
- Computing the Rank of Elliptic Curves over Number Fields
- Explicit isogeny descent on elliptic curves
- Explicit n-descent on elliptic curves, I. Algebra
- Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
- Notes on elliptic curves. I.
- Einige im Kleinen überall lösbare, im Großen unlösbare diophantische Gleichungen.
- Algorithmic Number Theory
- Some examples of 5 and 7 descent for elliptic curves over \(\mathbb{Q}\)
This page was built for publication: Second $p$-descents on elliptic curves
