Ranks of Elliptic Curves with Prescribed Torsion over Number Fields
From MaRDI portal
Publication:2935148
DOI10.1093/imrn/rnt013zbMath1308.11056arXiv1201.0252OpenAlexW3099821488MaRDI QIDQ2935148
Filip Najman, Peter Bruin, Andrej Dujella, Johan Bosman
Publication date: 22 December 2014
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.0252
Related Items (17)
A criterion to rule out torsion groups for elliptic curves over number fields ⋮ Splitting of primes in number fields generated by points on some modular curves ⋮ Preperiodic points for quadratic polynomials with small cycles over quadratic fields ⋮ Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization ⋮ On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields ⋮ On $L$-functions of quadratic $\mathbb {Q}$-curves ⋮ High rank elliptic curves with prescribed torsion group over quadratic fields ⋮ High-rank elliptic curves with given torsion group and some applications ⋮ Torsion of elliptic curves over cyclic cubic fields ⋮ \(\mathbb{Q}\)-curves over odd degree number fields ⋮ Torsion of elliptic curves over imaginary quadratic fields of class number 1 ⋮ Points of order 13 on elliptic curves ⋮ The growth of the rank of abelian varieties upon extensions ⋮ Rational Poncelet ⋮ Elliptic curves with a point of order \(13\) defined over cyclic cubic fields ⋮ Modular curves over number fields and ECM ⋮ Tamagawa Numbers of elliptic curves with 𝐶₁₃ torsion over quadratic fields
Uses Software
This page was built for publication: Ranks of Elliptic Curves with Prescribed Torsion over Number Fields