Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks

DOI10.1112/S1461157016000152zbMath1391.11077arXiv1602.01894OpenAlexW2255367803MaRDI QIDQ2971022

Jennifer S. Balakrishnan, Simon Spicer, James Weigandt, Wei Ho, William A. Stein, Nathan Kaplan

Publication date: 4 April 2017

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01894

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items

Counting elliptic curves with prescribed torsion ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ The Arithmetic Geometry of Resonant Rossby Wave Triads ⋮ Rank bias for elliptic curves \(\bmod\,p\) ⋮ Ranks, 2\-Selmer groups, and Tamagawa numbers of elliptic curves with \(\mathbb{Z} /2\mathbb{Z} \times \mathbb{Z} /8\mathbb{Z}\)-torsion ⋮ A probabilistic model for the distribution of ranks of elliptic curves over \(\mathbb{Q}\) ⋮ Heights of points on elliptic curves over ℚ ⋮ An on-average Maeda-type conjecture in the level aspect

Uses Software

• Magma
• ecdata

Cites Work

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