20 citations · 20 across the 2 of their papers we have counts for
3 papers
math.NT2016
The Elkies Curve has Rank 28 Subject only to GRH
Zev Klagsbrun, Travis Sherman, James Weigandt
In 2006, Elkies presented an elliptic curve with 28 independent rational points. We prove that subject to GRH, this curve has Mordell-Weil rank equal to 28 and analytic rank at mos…
math.NT2016★ 20 cited
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks
Jennifer S. Balakrishnan, Wei Ho, Nathan Kaplan +3
Most systematic tables of data associated to ranks of elliptic curves order the curves by conductor. Recent developments, led by work of Bhargava-Shankar studying the average sizes…
math.NT2014
Insulators of ABC Solutions
James E. Weigandt
This note studies various ways of measuring the complexity of primitive solutions to the equation and conjectures relating them. We define the insulator $\m…