On the Selmer group and rank of a family of elliptic curves and curves of genus one violating the Hasse principle
From MaRDI portal
Publication:6633561
DOI10.1016/J.JNT.2024.08.001MaRDI QIDQ6633561
Publication date: 6 November 2024
Published in: Journal of Number Theory (Search for Journal in Brave)
Could not fetch data.
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- On the Davenport-Heilbronn theorems and second order terms
- Hasse's problem for monogenic fields
- Groupes de Selmer et corps cubiques. (Selmer group and cubic fields)
- Integer points and the rank of Thue elliptic curves
- The Magma algebra system. I: The user language
- Arithmetische Theorie der kubischen Zahlkörper auf klassenkörpertheoretischer Grundlage.
- Selmer groups of elliptic curves that can be arbitrarily large.
- Three-descent and the Birch and Swinnerton-Dyer conjecture
- Algebraic number fields with the discriminant equal to that of a quadratic number field
- Cubic fields with geometry
- Monogenic fields arising from trinomials
- On the representation of unity by binary cubic forms
- A construction of polynomials with squarefree discriminants
- A survey on monogenic orders
- Squarefree values of trinomial discriminants
- Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.
- The Arithmetic of Elliptic Curves
- A fast algorithm to compute cubic fields
- How to do a 𝑝-descent on an elliptic curve
- Advanced Topics in Computional Number Theory
- The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k
- Cubic polynomials defining monogenic fields with the same discriminant
- Rational Points on Elliptic Curves
- Explicit n-descent on elliptic curves, I. Algebra
- Explicit $n$-descent on elliptic curves III. Algorithms
- On the Density of Discriminants of Cubic Fields
- On the density of discriminants of cubic fields. II
- Arithmetical Properties of Polynomials
- Quadratic fields with a class group of large 3-rank
- Number Theory
- On the lattice points on curves of genus 1.
- A positive proportion of quartic fields are not monogenic yet have no local obstruction to being so
This page was built for publication: On the Selmer group and rank of a family of elliptic curves and curves of genus one violating the Hasse principle
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6633561)